{"id":44,"date":"2018-07-20T11:44:22","date_gmt":"2018-07-20T09:44:22","guid":{"rendered":"http:\/\/mathquiz.fr\/?page_id=44"},"modified":"2018-07-25T16:22:51","modified_gmt":"2018-07-25T14:22:51","slug":"integrales","status":"publish","type":"page","link":"https:\/\/mathquiz.fr\/?page_id=44","title":{"rendered":"Int\u00e9grales"},"content":{"rendered":"<div id=\"mtq_quiz_area-1\" class=\"mtq_quiz_area mtq_color_blue\"> \r\n  <!--Quiz generated using mTouch Quiz Version 3.1.3 by G. Michael Guy (http:\/\/gmichaelguy.com\/quizplugin\/)-->\r\n        \r\n      \r\n  <!-- Shortcode entered mtouchquiz id=6 --> \r\n  <!-- Shortcode interpreted mtouchquiz id=6 alerts=on singlepage=on hints=off startscreen=on finalscreen=on multiplechances=off showanswers=now show_stamps=on randomq=on randoma=on status=on labels=on title=on proofread=off list=off time=off scoring=off formid= vform=on autoadvance=off autosubmit=off inform=off forcecf=off forcegf=off offset=1 questions=8 firstid=46 lastid=53 color=blue --> \r\n  <!--form action=\"\" method=\"post\" class=\"quiz-form\" id=\"quiz-6\"-->\r\n    <div id=\"mtq_quiztitle-1\" class=\"mtq_quiztitle\" >\r\n  <h2>Int\u00e9grales<\/h2>\r\n  <\/div>\r\n      <noscript>\r\n  <div id=\"mtq_javawarning-1\" class=\"mtq_javawarning\">\r\n  Veuillez attendre la fin du chargement de l'activit\u00e9. <\/br>Si l'activit\u00e9 se ne charge pas, essayez de rafra\u00eechir votre navigateur. Cette page n\u00e9cessite aussi Javascript. Veuillez la visiter avec Javascript activ\u00e9.  <div class=\"mtq_failed_button\" onclick=\"mtq_start_one(1)\">\r\n  Si le chargement \u00e9choue, cliquez ici pour r\u00e9-essayer  <\/div><\/div>\r\n  <\/noscript>\r\n    <div id=\"mtq_instructions-1\" class=\"mtq_instructions\"><\/div> <div id=\"mtq_start_button-1\" class='mtq_action_button mtq_css_button mtq_start_button' onclick='mtq_start_quiz(1)'> <div class=\"mtq_start_text\">\r\n  D\u00e9part  <\/div> <\/div>\r\n  <div id=\"mtq_quiz_results_bubble-1\" class=\"mtq_quiz_results_bubble\"> <div id=\"mtq_quiz_results-1\" class=\"mtq_quiz_results\"><p>F\u00e9licitation - vous avez compl\u00e9t\u00e9 <em>Int\u00e9grales<\/em>.<\/p><p>Vous avez obtenu  %%SCORE%% sur %%TOTAL%%.<\/p><p>Votre performance a \u00e9t\u00e9 \u00e9valu\u00e9e \u00e0 %%RATING%%<\/p> <br>    \r\n  <\/div> <div id=\"mtq_quiz_results_highlight-1\" class=\"mtq_quiz_results_highlight\">\r\n  Vos r\u00e9ponses sont surlign\u00e9es ci-dessous.  <\/div> <\/div>\r\n    \r\n  <!-- root element for mtqscrollable -->\r\n\r\n  <div id=\"mtq_question_container-1\" style='display:none'>\r\n  <div >\r\n          <div class='mtq_question mtq_scroll_item-1' id='mtq_question-1-1'><table class='mtq_question_heading_table'><tr><td><div class='mtq_question_label '>Question 1<\/div><div id='mtq_stamp-1-1' class='mtq_stamp'><\/div><\/td><\/tr><\/table><div id='mtq_question_text-1-1' class='mtq_question_text'><img src=\"http:\/\/mathquiz.fr\/wp-content\/uploads\/2018\/07\/rep9.png\" alt=\"\" width=\"678\" height=\"861\" class=\"alignnone size-full wp-image-135\" \/>\r\n\r\n<ol>\r\n<\/ol>\r\n\r\nLa fonction repr\u00e9sent\u00e9e par le courbe en mauve est .... de la fonction repr\u00e9sent\u00e9e par la courbe en verte.<\/div><table class='mtq_answer_table'><colgroup><col class='mtq_oce_first'\/><\/colgroup><tr id='mtq_row-1-1-1' onclick='mtq_button_click(1,1,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-1-1-1' class='mtq_css_letter_button mtq_letter_button_0'  alt='Question 1, Choice 1'>A<\/div><div id='mtq_marker-1-1-1' class='mtq_marker mtq_correct_marker' alt='Correct'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-1-1-1' class='mtq_answer_text'>la primitive<\/div><\/td><\/tr><tr id='mtq_row-1-2-1' onclick='mtq_button_click(1,2,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-1-2-1' class='mtq_css_letter_button mtq_letter_button_1'  alt='Question 1, Choice 2'>B<\/div><div id='mtq_marker-1-2-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-1-2-1' class='mtq_answer_text'>la d\u00e9riv\u00e9e <\/div><\/td><\/tr><tr id='mtq_row-1-3-1' onclick='mtq_button_click(1,3,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-1-3-1' class='mtq_css_letter_button mtq_letter_button_2'  alt='Question 1, Choice 3'>C<\/div><div id='mtq_marker-1-3-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-1-3-1' class='mtq_answer_text'>est rien du tout<\/div><\/td><\/tr><tr id='mtq_row-1-4-1' onclick='mtq_button_click(1,4,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-1-4-1' class='mtq_css_letter_button mtq_letter_button_3'  alt='Question 1, Choice 4'>D<\/div><div id='mtq_marker-1-4-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-1-4-1' class='mtq_answer_text'>la d\u00e9riv\u00e9e seconde<\/div><\/td><\/tr><\/table><div id='mtq_question_explanation-1-1' class='mtq_explanation'><div class='mtq_explanation-label'>Explication pour la question 1:&nbsp;<\/div><div class='mtq_explanation-text'> La fonction repr\u00e9sent\u00e9e par la courbe en vert est strictement positive sur <span class=\"wp-katex-eq\" data-display=\"false\">]-\\infty;-2[\\cup ]2,5;12[\\cup ]16,5; +\\infty[<\/span> tandis que la fonction repr\u00e9sent\u00e9e par la courbe en mauve est strictement croissante sur <span class=\"wp-katex-eq\" data-display=\"false\">]-\\infty;-2[\\cup ]2,5;12[\\cup ]16,5; +\\infty[<\/span>.\r\n\r\n<ol>\r\n<\/ol>\r\n\r\n La fonction repr\u00e9sent\u00e9e par la courbe en vert est strictement n\u00e9gative sur <span class=\"wp-katex-eq\" data-display=\"false\">]-2;2,5[\\cup ]12;16,5[<\/span> tandis que la fonction repr\u00e9sent\u00e9e par la courbe en mauve est strictement d\u00e9croissante sur <span class=\"wp-katex-eq\" data-display=\"false\">]-2;2,5[\\cup ]12;16,5[<\/span>.\r\n\r\n<ol>\r\n<\/ol>\r\n\r\nPar cons\u00e9quent la courbe en vert repr\u00e9sente la fonction d\u00e9riv\u00e9e de la fonction repr\u00e9sent\u00e9e par la courbe en mauve.\r\n\r\n<ol>\r\n<\/ol>\r\n\r\nOn en d\u00e9duit donc que la courbe en mauve repr\u00e9sente la fonction primitive de la fonction repr\u00e9sent\u00e9e par la courbe en vert.<\/div><\/div><\/div><div class='mtq_question mtq_scroll_item-1' id='mtq_question-2-1'><table class='mtq_question_heading_table'><tr><td><div class='mtq_question_label '>Question 2<\/div><div id='mtq_stamp-2-1' class='mtq_stamp'><\/div><\/td><\/tr><\/table><div id='mtq_question_text-2-1' class='mtq_question_text'>Soient <span class=\"wp-katex-eq\" data-display=\"false\">f<\/span> une fonction positive et continue sur <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{R}<\/span> telle que <span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{4} f(x) \\: dx= 70 \\: u.a.<\/span> et <span class=\"wp-katex-eq\" data-display=\"false\">g<\/span> la fonction d\u00e9finie et qui admet des primitives sur <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{R}<\/span> telle que <span class=\"wp-katex-eq\" data-display=\"false\">g(x)=x^3<\/span>. Sachant que pour tout <span class=\"wp-katex-eq\" data-display=\"false\">x\\in[1;4]<\/span>, <span class=\"wp-katex-eq\" data-display=\"false\">f(x)&gt;g(x)<\/span>, d\u00e9terminer l'aire entre la courbe repr\u00e9sentative de la fonction <span class=\"wp-katex-eq\" data-display=\"false\">f<\/span> et la courbe repr\u00e9sentative de la fonction <span class=\"wp-katex-eq\" data-display=\"false\">g<\/span>.<\/div><table class='mtq_answer_table'><colgroup><col class='mtq_oce_first'\/><\/colgroup><tr id='mtq_row-2-1-1' onclick='mtq_button_click(2,1,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-2-1-1' class='mtq_css_letter_button mtq_letter_button_0'  alt='Question 2, Choice 1'>A<\/div><div id='mtq_marker-2-1-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-2-1-1' class='mtq_answer_text'><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{4} f(x)-g(x) \\: dx = 2,75 \\: u.a. <\/span><\/div><\/td><\/tr><tr id='mtq_row-2-2-1' onclick='mtq_button_click(2,2,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-2-2-1' class='mtq_css_letter_button mtq_letter_button_1'  alt='Question 2, Choice 2'>B<\/div><div id='mtq_marker-2-2-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-2-2-1' class='mtq_answer_text'><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{4} f(x)-g(x) \\: dx = 10 \\: u.a.<\/span><\/div><\/td><\/tr><tr id='mtq_row-2-3-1' onclick='mtq_button_click(2,3,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-2-3-1' class='mtq_css_letter_button mtq_letter_button_2'  alt='Question 2, Choice 3'>C<\/div><div id='mtq_marker-2-3-1' class='mtq_marker mtq_correct_marker' alt='Correct'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-2-3-1' class='mtq_answer_text'><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{4} f(x)-g(x) \\: dx = 6,25 \\: u.a.<\/span><\/div><\/td><\/tr><tr id='mtq_row-2-4-1' onclick='mtq_button_click(2,4,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-2-4-1' class='mtq_css_letter_button mtq_letter_button_3'  alt='Question 2, Choice 4'>D<\/div><div id='mtq_marker-2-4-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-2-4-1' class='mtq_answer_text'><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{4} f(x)-g(x) \\: dx = 15 \\: u.a. <\/span><\/div><\/td><\/tr><\/table><div id='mtq_question_explanation-2-1' class='mtq_explanation'><div class='mtq_explanation-label'>Explication pour la question 2:&nbsp;<\/div><div class='mtq_explanation-text'> <ol>On calcule au pr\u00e9alable<\/ol>\r\n\r\n<ol><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{4} g(x) \\: dx = [\\dfrac{x^4}{4}]_1^{4}= \\dfrac{4^4}{4}-\\dfrac{1}{4}= \\dfrac{256}{4}-\\dfrac{1}{4}=63,75 \\: u.a.<\/span>\r\n\r\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{4} f(x)-g(x) \\: dx =\\displaystyle\\int_{1}^{4} f(x)-\\displaystyle\\int_{1}^{4} g(x) = 70- 63,75=6,25 \\: u.a.<\/span><\/div><\/div><\/div><div class='mtq_question mtq_scroll_item-1' id='mtq_question-3-1'><table class='mtq_question_heading_table'><tr><td><div class='mtq_question_label '>Question 3<\/div><div id='mtq_stamp-3-1' class='mtq_stamp'><\/div><\/td><\/tr><\/table><div id='mtq_question_text-3-1' class='mtq_question_text'><img src=\"http:\/\/mathquiz.fr\/wp-content\/uploads\/2018\/07\/rep10.png\" alt=\"\" width=\"686\" height=\"835\" class=\"alignnone size-full wp-image-136\" \/>\r\n\r\n<ol>\r\n<\/ol>\r\n\r\nLa fonction repr\u00e9sent\u00e9e par le courbe en rouge est .... de la fonction repr\u00e9sent\u00e9e par la courbe en verte.<\/div><table class='mtq_answer_table'><colgroup><col class='mtq_oce_first'\/><\/colgroup><tr id='mtq_row-3-1-1' onclick='mtq_button_click(3,1,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-3-1-1' class='mtq_css_letter_button mtq_letter_button_0'  alt='Question 3, Choice 1'>A<\/div><div id='mtq_marker-3-1-1' class='mtq_marker mtq_correct_marker' alt='Correct'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-3-1-1' class='mtq_answer_text'>la d\u00e9riv\u00e9e<\/div><\/td><\/tr><tr id='mtq_row-3-2-1' onclick='mtq_button_click(3,2,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-3-2-1' class='mtq_css_letter_button mtq_letter_button_1'  alt='Question 3, Choice 2'>B<\/div><div id='mtq_marker-3-2-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-3-2-1' class='mtq_answer_text'>la primitive<\/div><\/td><\/tr><tr id='mtq_row-3-3-1' onclick='mtq_button_click(3,3,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-3-3-1' class='mtq_css_letter_button mtq_letter_button_2'  alt='Question 3, Choice 3'>C<\/div><div id='mtq_marker-3-3-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-3-3-1' class='mtq_answer_text'>rien du tout<\/div><\/td><\/tr><tr id='mtq_row-3-4-1' onclick='mtq_button_click(3,4,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-3-4-1' class='mtq_css_letter_button mtq_letter_button_3'  alt='Question 3, Choice 4'>D<\/div><div id='mtq_marker-3-4-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-3-4-1' class='mtq_answer_text'>la d\u00e9riv\u00e9e seconde<\/div><\/td><\/tr><\/table><div id='mtq_question_explanation-3-1' class='mtq_explanation'><div class='mtq_explanation-label'>Explication pour la question 3:&nbsp;<\/div><div class='mtq_explanation-text'> La fonction repr\u00e9sent\u00e9e par la courbe en rouge est strictement positive sur <span class=\"wp-katex-eq\" data-display=\"false\">]0;6,8[\\cup ]14,5; +\\infty[<\/span> tandis que la fonction repr\u00e9sent\u00e9e par la courbe en vert est strictement croissante sur <span class=\"wp-katex-eq\" data-display=\"false\">]0;6,8[\\cup ]14,5; +\\infty[<\/span>.\r\n\r\n<ol>\r\n<\/ol>\r\n\r\n La fonction repr\u00e9sent\u00e9e par la courbe en rouge est strictement n\u00e9gative sur <span class=\"wp-katex-eq\" data-display=\"false\">]-\\infty;0[\\cup ]6,8;14,5[<\/span> tandis que la fonction repr\u00e9sent\u00e9e par la courbe en mauve est strictement d\u00e9croissante sur <span class=\"wp-katex-eq\" data-display=\"false\">]-\\infty;0[\\cup ]6,8;14,5[<\/span>.\r\n\r\n<ol>\r\n<\/ol>\r\n\r\nOn en d\u00e9duit donc que la courbe en rouge repr\u00e9sente la fonction d\u00e9riv\u00e9e de la fonction repr\u00e9sent\u00e9e par la courbe en vert.<\/div><\/div><\/div><div class='mtq_question mtq_scroll_item-1' id='mtq_question-4-1'><table class='mtq_question_heading_table'><tr><td><div class='mtq_question_label '>Question 4<\/div><div id='mtq_stamp-4-1' class='mtq_stamp'><\/div><\/td><\/tr><\/table><div id='mtq_question_text-4-1' class='mtq_question_text'><img src=\"http:\/\/mathquiz.fr\/wp-content\/uploads\/2018\/07\/rep11.png\" alt=\"\" width=\"912\" height=\"785\" class=\"alignnone size-full wp-image-137\" \/>\r\n\r\nLa fonction repr\u00e9sent\u00e9e par le courbe en bleu est .... de la fonction repr\u00e9sent\u00e9e par la courbe en verte.<\/div><table class='mtq_answer_table'><colgroup><col class='mtq_oce_first'\/><\/colgroup><tr id='mtq_row-4-1-1' onclick='mtq_button_click(4,1,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-4-1-1' class='mtq_css_letter_button mtq_letter_button_0'  alt='Question 4, Choice 1'>A<\/div><div id='mtq_marker-4-1-1' class='mtq_marker mtq_correct_marker' alt='Correct'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-4-1-1' class='mtq_answer_text'>la d\u00e9riv\u00e9e seconde<\/div><\/td><\/tr><tr id='mtq_row-4-2-1' onclick='mtq_button_click(4,2,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-4-2-1' class='mtq_css_letter_button mtq_letter_button_1'  alt='Question 4, Choice 2'>B<\/div><div id='mtq_marker-4-2-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-4-2-1' class='mtq_answer_text'>rien du tout<\/div><\/td><\/tr><tr id='mtq_row-4-3-1' onclick='mtq_button_click(4,3,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-4-3-1' class='mtq_css_letter_button mtq_letter_button_2'  alt='Question 4, Choice 3'>C<\/div><div id='mtq_marker-4-3-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-4-3-1' class='mtq_answer_text'>la primitive<\/div><\/td><\/tr><tr id='mtq_row-4-4-1' onclick='mtq_button_click(4,4,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-4-4-1' class='mtq_css_letter_button mtq_letter_button_3'  alt='Question 4, Choice 4'>D<\/div><div id='mtq_marker-4-4-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-4-4-1' class='mtq_answer_text'>la d\u00e9riv\u00e9e<\/div><\/td><\/tr><\/table><div id='mtq_question_explanation-4-1' class='mtq_explanation'><div class='mtq_explanation-label'>Explication pour la question 4:&nbsp;<\/div><div class='mtq_explanation-text'> On remarque que la fonction repr\u00e9sent\u00e9e par la courbe en vert est convexe sur <span class=\"wp-katex-eq\" data-display=\"false\">]-\\infty;-2[\\cup]12;+\\infty[<\/span>, alors que la fonction repr\u00e9sent\u00e9e en bleu est strictement positive sur <span class=\"wp-katex-eq\" data-display=\"false\">]-\\infty;-2[\\cup]12;+\\infty[<\/span>.\r\n\r\n<ol>\r\n<\/ol>\r\n\r\nLa fonction repr\u00e9sent\u00e9e par la courbe en vert est concave sur <span class=\"wp-katex-eq\" data-display=\"false\">]-2;12[<\/span>, alors que la fonction repr\u00e9sent\u00e9e en bleu est strictement n\u00e9gative sur <span class=\"wp-katex-eq\" data-display=\"false\">]-2;12[<\/span>.\r\n\r\n\r\n<ol>\r\n<\/ol>\r\n\r\nOn en d\u00e9duit donc que la fonction en bleu repr\u00e9sente la d\u00e9riv\u00e9e seconde de la fonction repr\u00e9sent\u00e9 en vert.\r\n<\/div><\/div><\/div><div class='mtq_question mtq_scroll_item-1' id='mtq_question-5-1'><table class='mtq_question_heading_table'><tr><td><div class='mtq_question_label '>Question 5<\/div><div id='mtq_stamp-5-1' class='mtq_stamp'><\/div><\/td><\/tr><\/table><div id='mtq_question_text-5-1' class='mtq_question_text'>Soit <span class=\"wp-katex-eq\" data-display=\"false\">f<\/span> une fonction telle que <span class=\"wp-katex-eq\" data-display=\"false\">\\int_{2}^{7} f(x) \\: dx = 50<\/span>. Alors la valeur moyenne de la fonction <span class=\"wp-katex-eq\" data-display=\"false\">f<\/span> sur <span class=\"wp-katex-eq\" data-display=\"false\">[2;7]<\/span> est \u00e9gale \u00e0 :<\/div><table class='mtq_answer_table'><colgroup><col class='mtq_oce_first'\/><\/colgroup><tr id='mtq_row-5-1-1' onclick='mtq_button_click(5,1,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-5-1-1' class='mtq_css_letter_button mtq_letter_button_0'  alt='Question 5, Choice 1'>A<\/div><div id='mtq_marker-5-1-1' class='mtq_marker mtq_correct_marker' alt='Correct'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-5-1-1' class='mtq_answer_text'>10<\/div><\/td><\/tr><tr id='mtq_row-5-2-1' onclick='mtq_button_click(5,2,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-5-2-1' class='mtq_css_letter_button mtq_letter_button_1'  alt='Question 5, Choice 2'>B<\/div><div id='mtq_marker-5-2-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-5-2-1' class='mtq_answer_text'>50<\/div><\/td><\/tr><tr id='mtq_row-5-3-1' onclick='mtq_button_click(5,3,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-5-3-1' class='mtq_css_letter_button mtq_letter_button_2'  alt='Question 5, Choice 3'>C<\/div><div id='mtq_marker-5-3-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-5-3-1' class='mtq_answer_text'>18<\/div><\/td><\/tr><tr id='mtq_row-5-4-1' onclick='mtq_button_click(5,4,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-5-4-1' class='mtq_css_letter_button mtq_letter_button_3'  alt='Question 5, Choice 4'>D<\/div><div id='mtq_marker-5-4-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-5-4-1' class='mtq_answer_text'>7<\/div><\/td><\/tr><\/table><div id='mtq_question_explanation-5-1' class='mtq_explanation'><div class='mtq_explanation-label'>Explication pour la question 5:&nbsp;<\/div><div class='mtq_explanation-text'> (cf d\u00e9finition 3)\r\n<span class=\"wp-katex-eq\" data-display=\"false\">m=\\dfrac{1}{b-a}\\int_{a}^{b} f(x) \\: dx=\\dfrac{1}{7-2}\\int_{2}^{7} f(x) \\: dx = \\dfrac{1}{5}\\times 50=10<\/span><\/div><\/div><\/div><div class='mtq_question mtq_scroll_item-1' id='mtq_question-6-1'><table class='mtq_question_heading_table'><tr><td><div class='mtq_question_label '>Question 6<\/div><div id='mtq_stamp-6-1' class='mtq_stamp'><\/div><\/td><\/tr><\/table><div id='mtq_question_text-6-1' class='mtq_question_text'><img src=\"http:\/\/mathquiz.fr\/wp-content\/uploads\/2018\/07\/rep8.png\" alt=\"\" width=\"627\" height=\"396\" class=\"alignnone size-full wp-image-133\" \/>\r\n\r\n<ol>\r\n<\/ol>\r\n\r\nCi-dessus la courbe repr\u00e9sentative de la fonction <span class=\"wp-katex-eq\" data-display=\"false\">f<\/span>.\r\n\r\nD\u00e9terminer l'encadrement entre deux entiers cons\u00e9cutifs de <span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{2}^{4} f(x) \\: dx<\/span>.<\/div><table class='mtq_answer_table'><colgroup><col class='mtq_oce_first'\/><\/colgroup><tr id='mtq_row-6-1-1' onclick='mtq_button_click(6,1,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-6-1-1' class='mtq_css_letter_button mtq_letter_button_0'  alt='Question 6, Choice 1'>A<\/div><div id='mtq_marker-6-1-1' class='mtq_marker mtq_correct_marker' alt='Correct'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-6-1-1' class='mtq_answer_text'><span class=\"wp-katex-eq\" data-display=\"false\">2\\leqslant \\displaystyle\\int_{2}^{4} f(x) \\: dx \\leqslant 3<\/span><\/div><\/td><\/tr><tr id='mtq_row-6-2-1' onclick='mtq_button_click(6,2,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-6-2-1' class='mtq_css_letter_button mtq_letter_button_1'  alt='Question 6, Choice 2'>B<\/div><div id='mtq_marker-6-2-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-6-2-1' class='mtq_answer_text'><span class=\"wp-katex-eq\" data-display=\"false\">0\\leqslant \\displaystyle\\int_{2}^{4} f(x) \\: dx \\leqslant 1<\/span><\/div><\/td><\/tr><tr id='mtq_row-6-3-1' onclick='mtq_button_click(6,3,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-6-3-1' class='mtq_css_letter_button mtq_letter_button_2'  alt='Question 6, Choice 3'>C<\/div><div id='mtq_marker-6-3-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-6-3-1' class='mtq_answer_text'><span class=\"wp-katex-eq\" data-display=\"false\">3\\leqslant \\displaystyle\\int_{2}^{4} f(x) \\: dx \\leqslant 4<\/span><\/div><\/td><\/tr><tr id='mtq_row-6-4-1' onclick='mtq_button_click(6,4,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-6-4-1' class='mtq_css_letter_button mtq_letter_button_3'  alt='Question 6, Choice 4'>D<\/div><div id='mtq_marker-6-4-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-6-4-1' class='mtq_answer_text'><span class=\"wp-katex-eq\" data-display=\"false\">1\\leqslant \\displaystyle\\int_{2}^{4} f(x) \\: dx \\leqslant 2<\/span><\/div><\/td><\/tr><\/table><div id='mtq_question_explanation-6-1' class='mtq_explanation'><div class='mtq_explanation-label'>Explication pour la question 6:&nbsp;<\/div><div class='mtq_explanation-text'> Approximation possible avec l'aide de trap\u00e8zes.<\/div><\/div><\/div><div class='mtq_question mtq_scroll_item-1' id='mtq_question-7-1'><table class='mtq_question_heading_table'><tr><td><div class='mtq_question_label '>Question 7<\/div><div id='mtq_stamp-7-1' class='mtq_stamp'><\/div><\/td><\/tr><\/table><div id='mtq_question_text-7-1' class='mtq_question_text'>D\u00e9terminer l'aire sous la courbe de la fonction <span class=\"wp-katex-eq\" data-display=\"false\">f<\/span> (en u.a.) fonction continue et qui admet des primitives sur <span class=\"wp-katex-eq\" data-display=\"false\">\\mathbb{R}^*<\/span> telle que <span class=\"wp-katex-eq\" data-display=\"false\">f(x)=2x^3+5x-\\dfrac{1}{x}<\/span> sur l\u2019intervalle <span class=\"wp-katex-eq\" data-display=\"false\">[1;5]<\/span> est \u00e9gale \u00e0 :<\/div><table class='mtq_answer_table'><colgroup><col class='mtq_oce_first'\/><\/colgroup><tr id='mtq_row-7-1-1' onclick='mtq_button_click(7,1,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-7-1-1' class='mtq_css_letter_button mtq_letter_button_0'  alt='Question 7, Choice 1'>A<\/div><div id='mtq_marker-7-1-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-7-1-1' class='mtq_answer_text'><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{5} f(x) \\: dx =27 \\: u.a. <\/span><\/div><\/td><\/tr><tr id='mtq_row-7-2-1' onclick='mtq_button_click(7,2,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-7-2-1' class='mtq_css_letter_button mtq_letter_button_1'  alt='Question 7, Choice 2'>B<\/div><div id='mtq_marker-7-2-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-7-2-1' class='mtq_answer_text'><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{5} f(x) \\: dx =370,4 \\: u.a. <\/span><\/div><\/td><\/tr><tr id='mtq_row-7-3-1' onclick='mtq_button_click(7,3,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-7-3-1' class='mtq_css_letter_button mtq_letter_button_2'  alt='Question 7, Choice 3'>C<\/div><div id='mtq_marker-7-3-1' class='mtq_marker mtq_correct_marker' alt='Correct'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-7-3-1' class='mtq_answer_text'><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{5} f(x) \\: dx =372-ln(5) \\: u.a.<\/span> <\/div><\/td><\/tr><tr id='mtq_row-7-4-1' onclick='mtq_button_click(7,4,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-7-4-1' class='mtq_css_letter_button mtq_letter_button_3'  alt='Question 7, Choice 4'>D<\/div><div id='mtq_marker-7-4-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-7-4-1' class='mtq_answer_text'><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{5} f(x) \\: dx = 372-e^5 \\: u.a.<\/span> <\/div><\/td><\/tr><\/table><div id='mtq_question_explanation-7-1' class='mtq_explanation'><div class='mtq_explanation-label'>Explication pour la question 7:&nbsp;<\/div><div class='mtq_explanation-text'> Soit <span class=\"wp-katex-eq\" data-display=\"false\">F<\/span> une primitive de <span class=\"wp-katex-eq\" data-display=\"false\">f<\/span>. \r\n\r\nOn d\u00e9termine que :\r\n<ol>\r\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int 2x^3 \\: dx = 2\\dfrac{x^4}{4}+c=\\dfrac{1}{2}x^4+c<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/ol>\r\n<ol>\r\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int 5x \\: dx = 5\\dfrac{x^2}{2}+c=\\dfrac{5}{2}x^2+c<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/ol>\r\n<ol>\r\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int \\dfrac{1}{x} \\: dx =ln(x)+c<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/ol>\r\n\r\n<ol>Par cons\u00e9quent \r\n<span class=\"wp-katex-eq\" data-display=\"false\">F(x)=\\dfrac{1}{2}x^4+\\dfrac{5}{2}x^2-ln(x)<\/span><\/ol>\r\n\r\n<ol><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int_{1}^{5} f(x) \\: dx = F(5)-F(1)=\\dfrac{1}{2}\\times 5^4+\\dfrac{5}{2}\\times 5^2-ln(5)-(\\dfrac{1}{2}\\times 1^4+\\dfrac{5}{2}\\times 1^2-ln(1))=372-ln(5)+ln(1)=372-ln(5) \\approx 370,4<\/span><\/ol><\/div><\/div><\/div><div class='mtq_question mtq_scroll_item-1' id='mtq_question-8-1'><table class='mtq_question_heading_table'><tr><td><div class='mtq_question_label '>Question 8<\/div><div id='mtq_stamp-8-1' class='mtq_stamp'><\/div><\/td><\/tr><\/table><div id='mtq_question_text-8-1' class='mtq_question_text'>D\u00e9terminer les primitives de la fonction <span class=\"wp-katex-eq\" data-display=\"false\">f(x)=x^4+\\dfrac{2}{3}x^3-2x<\/span>.<\/div><table class='mtq_answer_table'><colgroup><col class='mtq_oce_first'\/><\/colgroup><tr id='mtq_row-8-1-1' onclick='mtq_button_click(8,1,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-8-1-1' class='mtq_css_letter_button mtq_letter_button_0'  alt='Question 8, Choice 1'>A<\/div><div id='mtq_marker-8-1-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-8-1-1' class='mtq_answer_text'><span class=\"wp-katex-eq\" data-display=\"false\">F(x)=x^3+x^2-2<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/div><\/td><\/tr><tr id='mtq_row-8-2-1' onclick='mtq_button_click(8,2,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-8-2-1' class='mtq_css_letter_button mtq_letter_button_1'  alt='Question 8, Choice 2'>B<\/div><div id='mtq_marker-8-2-1' class='mtq_marker mtq_correct_marker' alt='Correct'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-8-2-1' class='mtq_answer_text'><span class=\"wp-katex-eq\" data-display=\"false\">F(x)=\\dfrac{1}{5}x^5+\\dfrac{1}{6}x^4-x^2+c<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/div><\/td><\/tr><tr id='mtq_row-8-3-1' onclick='mtq_button_click(8,3,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-8-3-1' class='mtq_css_letter_button mtq_letter_button_2'  alt='Question 8, Choice 3'>C<\/div><div id='mtq_marker-8-3-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-8-3-1' class='mtq_answer_text'><span class=\"wp-katex-eq\" data-display=\"false\">F(x)=\\dfrac{1}{4}x^5+\\dfrac{2}{9}x^4-2x^2+c<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/div><\/td><\/tr><tr id='mtq_row-8-4-1' onclick='mtq_button_click(8,4,1)' class='mtq_clickable'><td class='mtq_letter_button_td'><div id='mtq_button-8-4-1' class='mtq_css_letter_button mtq_letter_button_3'  alt='Question 8, Choice 4'>D<\/div><div id='mtq_marker-8-4-1' class='mtq_marker mtq_wrong_marker' alt='Faux'><\/div><\/td><td class='mtq_answer_td'><div id='mtq_answer_text-8-4-1' class='mtq_answer_text'><span class=\"wp-katex-eq\" data-display=\"false\">F(x)=4x^3+2x^2-2<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/div><\/td><\/tr><\/table><div id='mtq_question_explanation-8-1' class='mtq_explanation'><div class='mtq_explanation-label'>Explication pour la question 8:&nbsp;<\/div><div class='mtq_explanation-text'> <ol><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int x^4 \\: dx=\\dfrac{x^5}{5}+c<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/ol>\r\n<ol><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int \\dfrac{2}{3}x^3 \\: dx= \\dfrac{2}{3}\\displaystyle\\int x^3 \\: dx=\\dfrac{2}{3}\\times \\dfrac{x^4}{4}+c=\\dfrac{2}{12}x^4+c=\\dfrac{1}{6}x^4 +c<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/ol>\r\n<ol><span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\displaystyle\\int 2x \\: dx= 2 \\displaystyle\\int x \\: dx=2\\times\\dfrac{x^2}{2}+c=x^2+c<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/ol>\r\n\r\n<ol>\r\nPar cons\u00e9quent<\/ol>\r\n\r\n<ol><span class=\"wp-katex-eq\" data-display=\"false\">F(x)=\\dfrac{1}{5}x^5+\\dfrac{1}{6}x^4-x^2+c<\/span>, avec <span class=\"wp-katex-eq\" data-display=\"false\">c\\in\\mathbb{R}<\/span><\/ol><\/div><\/div><\/div>            <div id=\"mtq_results_request-1\" class=\"mtq_results_request mtq_scroll_item-1\">\r\n        Une fois termin\u00e9, cliquez sur le bouton ci-dessous. Toutes les questions que vous n'avez pas compl\u00e9t\u00e9es sont marqu\u00e9es comme incorrectes.        <span id=\"mtq_results_button-1\" class='mtq_action_button mtq_css_button mtq_results_button'  onclick='mtq_get_results(1)'> <span class=\"mtq_results_text\">\r\n        Obtenir les r\u00e9sultats        <\/span> <\/span> <\/div>\r\n                <!--End of mtqscrollable items--> \r\n    \r\n  <\/div>\r\n  <!--End of mtqscrollable--> \r\n  <!--mtq_status-->\r\n    <div id=\"mtq_quiz_status-1\" class=\"mtq_quiz_status\">\r\n  Il y a 8 questions \u00e0 compl\u00e9ter.  <\/div>\r\n      <\/div> \r\n  <!--Holds all questions-->\r\n    <div id=\"mtq_variables\" class=\"mtq_preload\" style=\"display:none\"> <input type='hidden' id='mtq_id-1' name='mtq_id_value' value='1' \/><input type='hidden' name='question_id[]' value='51'\/><input type='hidden' id='mtq_is_answered-1-1' value='0'\/><input type='hidden' id='mtq_is_correct-1-1' value='0'\/><input type='hidden' id='mtq_is_worth-1-1' value='100'\/><input type='hidden' id='mtq_num_attempts-1-1' value='0'\/><input type='hidden' id='mtq_points_awarded-1-1' value='0'\/><input type='hidden' id='mtq_is_correct-1-1-1' value='1'\/><input type='hidden' id='mtq_was_selected-1-1-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-1-1-1' value='0'\/><input type='hidden' id='mtq_has_hint-1-1-1' value='0'\/><input type='hidden' id='mtq_is_correct-1-2-1' value='0'\/><input type='hidden' id='mtq_was_selected-1-2-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-1-2-1' value='0'\/><input type='hidden' id='mtq_has_hint-1-2-1' value='0'\/><input type='hidden' id='mtq_is_correct-1-3-1' value='0'\/><input type='hidden' id='mtq_was_selected-1-3-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-1-3-1' value='0'\/><input type='hidden' id='mtq_has_hint-1-3-1' value='0'\/><input type='hidden' id='mtq_is_correct-1-4-1' value='0'\/><input type='hidden' id='mtq_was_selected-1-4-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-1-4-1' value='0'\/><input type='hidden' id='mtq_has_hint-1-4-1' value='0'\/><input type='hidden' id='mtq_num_ans-1-1' value='4' \/><input type='hidden' id='mtq_num_correct-1-1' value='1' \/><input type='hidden' name='question_id[]' value='49'\/><input type='hidden' id='mtq_is_answered-2-1' value='0'\/><input type='hidden' id='mtq_is_correct-2-1' value='0'\/><input type='hidden' id='mtq_is_worth-2-1' value='100'\/><input type='hidden' id='mtq_num_attempts-2-1' value='0'\/><input type='hidden' id='mtq_points_awarded-2-1' value='0'\/><input type='hidden' id='mtq_is_correct-2-1-1' value='0'\/><input type='hidden' id='mtq_was_selected-2-1-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-2-1-1' value='0'\/><input type='hidden' id='mtq_has_hint-2-1-1' value='0'\/><input type='hidden' id='mtq_is_correct-2-2-1' value='0'\/><input type='hidden' id='mtq_was_selected-2-2-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-2-2-1' value='0'\/><input type='hidden' id='mtq_has_hint-2-2-1' value='0'\/><input type='hidden' id='mtq_is_correct-2-3-1' value='1'\/><input type='hidden' id='mtq_was_selected-2-3-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-2-3-1' value='0'\/><input type='hidden' id='mtq_has_hint-2-3-1' value='0'\/><input type='hidden' id='mtq_is_correct-2-4-1' value='0'\/><input type='hidden' id='mtq_was_selected-2-4-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-2-4-1' value='0'\/><input type='hidden' id='mtq_has_hint-2-4-1' value='0'\/><input type='hidden' id='mtq_num_ans-2-1' value='4' \/><input type='hidden' id='mtq_num_correct-2-1' value='1' \/><input type='hidden' name='question_id[]' value='52'\/><input type='hidden' id='mtq_is_answered-3-1' value='0'\/><input type='hidden' id='mtq_is_correct-3-1' value='0'\/><input type='hidden' id='mtq_is_worth-3-1' value='100'\/><input type='hidden' id='mtq_num_attempts-3-1' value='0'\/><input type='hidden' id='mtq_points_awarded-3-1' value='0'\/><input type='hidden' id='mtq_is_correct-3-1-1' value='1'\/><input type='hidden' id='mtq_was_selected-3-1-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-3-1-1' value='0'\/><input type='hidden' id='mtq_has_hint-3-1-1' value='0'\/><input type='hidden' id='mtq_is_correct-3-2-1' value='0'\/><input type='hidden' id='mtq_was_selected-3-2-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-3-2-1' value='0'\/><input type='hidden' id='mtq_has_hint-3-2-1' value='0'\/><input type='hidden' id='mtq_is_correct-3-3-1' value='0'\/><input type='hidden' id='mtq_was_selected-3-3-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-3-3-1' value='0'\/><input type='hidden' id='mtq_has_hint-3-3-1' value='0'\/><input type='hidden' id='mtq_is_correct-3-4-1' value='0'\/><input type='hidden' id='mtq_was_selected-3-4-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-3-4-1' value='0'\/><input type='hidden' id='mtq_has_hint-3-4-1' value='0'\/><input type='hidden' id='mtq_num_ans-3-1' value='4' \/><input type='hidden' id='mtq_num_correct-3-1' value='1' \/><input type='hidden' name='question_id[]' value='53'\/><input type='hidden' id='mtq_is_answered-4-1' value='0'\/><input type='hidden' id='mtq_is_correct-4-1' value='0'\/><input type='hidden' id='mtq_is_worth-4-1' value='100'\/><input type='hidden' id='mtq_num_attempts-4-1' value='0'\/><input type='hidden' id='mtq_points_awarded-4-1' value='0'\/><input type='hidden' id='mtq_is_correct-4-1-1' value='1'\/><input type='hidden' id='mtq_was_selected-4-1-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-4-1-1' value='0'\/><input type='hidden' id='mtq_has_hint-4-1-1' value='0'\/><input type='hidden' id='mtq_is_correct-4-2-1' value='0'\/><input type='hidden' id='mtq_was_selected-4-2-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-4-2-1' value='0'\/><input type='hidden' id='mtq_has_hint-4-2-1' value='0'\/><input type='hidden' id='mtq_is_correct-4-3-1' value='0'\/><input type='hidden' id='mtq_was_selected-4-3-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-4-3-1' value='0'\/><input type='hidden' id='mtq_has_hint-4-3-1' value='0'\/><input type='hidden' id='mtq_is_correct-4-4-1' value='0'\/><input type='hidden' id='mtq_was_selected-4-4-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-4-4-1' value='0'\/><input type='hidden' id='mtq_has_hint-4-4-1' value='0'\/><input type='hidden' id='mtq_num_ans-4-1' value='4' \/><input type='hidden' id='mtq_num_correct-4-1' value='1' \/><input type='hidden' name='question_id[]' value='50'\/><input type='hidden' id='mtq_is_answered-5-1' value='0'\/><input type='hidden' id='mtq_is_correct-5-1' value='0'\/><input type='hidden' id='mtq_is_worth-5-1' value='100'\/><input type='hidden' id='mtq_num_attempts-5-1' value='0'\/><input type='hidden' id='mtq_points_awarded-5-1' value='0'\/><input type='hidden' id='mtq_is_correct-5-1-1' value='1'\/><input type='hidden' id='mtq_was_selected-5-1-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-5-1-1' value='0'\/><input type='hidden' id='mtq_has_hint-5-1-1' value='0'\/><input type='hidden' id='mtq_is_correct-5-2-1' value='0'\/><input type='hidden' id='mtq_was_selected-5-2-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-5-2-1' value='0'\/><input type='hidden' id='mtq_has_hint-5-2-1' value='0'\/><input type='hidden' id='mtq_is_correct-5-3-1' value='0'\/><input type='hidden' id='mtq_was_selected-5-3-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-5-3-1' value='0'\/><input type='hidden' id='mtq_has_hint-5-3-1' value='0'\/><input type='hidden' id='mtq_is_correct-5-4-1' value='0'\/><input type='hidden' id='mtq_was_selected-5-4-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-5-4-1' value='0'\/><input type='hidden' id='mtq_has_hint-5-4-1' value='0'\/><input type='hidden' id='mtq_num_ans-5-1' value='4' \/><input type='hidden' id='mtq_num_correct-5-1' value='1' \/><input type='hidden' name='question_id[]' value='46'\/><input type='hidden' id='mtq_is_answered-6-1' value='0'\/><input type='hidden' id='mtq_is_correct-6-1' value='0'\/><input type='hidden' id='mtq_is_worth-6-1' value='100'\/><input type='hidden' id='mtq_num_attempts-6-1' value='0'\/><input type='hidden' id='mtq_points_awarded-6-1' value='0'\/><input type='hidden' id='mtq_is_correct-6-1-1' value='1'\/><input type='hidden' id='mtq_was_selected-6-1-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-6-1-1' value='0'\/><input type='hidden' id='mtq_has_hint-6-1-1' value='0'\/><input type='hidden' id='mtq_is_correct-6-2-1' value='0'\/><input type='hidden' id='mtq_was_selected-6-2-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-6-2-1' value='0'\/><input type='hidden' id='mtq_has_hint-6-2-1' value='0'\/><input type='hidden' id='mtq_is_correct-6-3-1' value='0'\/><input type='hidden' id='mtq_was_selected-6-3-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-6-3-1' value='0'\/><input type='hidden' id='mtq_has_hint-6-3-1' value='0'\/><input type='hidden' id='mtq_is_correct-6-4-1' value='0'\/><input type='hidden' id='mtq_was_selected-6-4-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-6-4-1' value='0'\/><input type='hidden' id='mtq_has_hint-6-4-1' value='0'\/><input type='hidden' id='mtq_num_ans-6-1' value='4' \/><input type='hidden' id='mtq_num_correct-6-1' value='1' \/><input type='hidden' name='question_id[]' value='47'\/><input type='hidden' id='mtq_is_answered-7-1' value='0'\/><input type='hidden' id='mtq_is_correct-7-1' value='0'\/><input type='hidden' id='mtq_is_worth-7-1' value='100'\/><input type='hidden' id='mtq_num_attempts-7-1' value='0'\/><input type='hidden' id='mtq_points_awarded-7-1' value='0'\/><input type='hidden' id='mtq_is_correct-7-1-1' value='0'\/><input type='hidden' id='mtq_was_selected-7-1-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-7-1-1' value='0'\/><input type='hidden' id='mtq_has_hint-7-1-1' value='0'\/><input type='hidden' id='mtq_is_correct-7-2-1' value='0'\/><input type='hidden' id='mtq_was_selected-7-2-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-7-2-1' value='0'\/><input type='hidden' id='mtq_has_hint-7-2-1' value='0'\/><input type='hidden' id='mtq_is_correct-7-3-1' value='1'\/><input type='hidden' id='mtq_was_selected-7-3-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-7-3-1' value='0'\/><input type='hidden' id='mtq_has_hint-7-3-1' value='0'\/><input type='hidden' id='mtq_is_correct-7-4-1' value='0'\/><input type='hidden' id='mtq_was_selected-7-4-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-7-4-1' value='0'\/><input type='hidden' id='mtq_has_hint-7-4-1' value='0'\/><input type='hidden' id='mtq_num_ans-7-1' value='4' \/><input type='hidden' id='mtq_num_correct-7-1' value='1' \/><input type='hidden' name='question_id[]' value='48'\/><input type='hidden' id='mtq_is_answered-8-1' value='0'\/><input type='hidden' id='mtq_is_correct-8-1' value='0'\/><input type='hidden' id='mtq_is_worth-8-1' value='100'\/><input type='hidden' id='mtq_num_attempts-8-1' value='0'\/><input type='hidden' id='mtq_points_awarded-8-1' value='0'\/><input type='hidden' id='mtq_is_correct-8-1-1' value='0'\/><input type='hidden' id='mtq_was_selected-8-1-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-8-1-1' value='0'\/><input type='hidden' id='mtq_has_hint-8-1-1' value='0'\/><input type='hidden' id='mtq_is_correct-8-2-1' value='1'\/><input type='hidden' id='mtq_was_selected-8-2-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-8-2-1' value='0'\/><input type='hidden' id='mtq_has_hint-8-2-1' value='0'\/><input type='hidden' id='mtq_is_correct-8-3-1' value='0'\/><input type='hidden' id='mtq_was_selected-8-3-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-8-3-1' value='0'\/><input type='hidden' id='mtq_has_hint-8-3-1' value='0'\/><input type='hidden' id='mtq_is_correct-8-4-1' value='0'\/><input type='hidden' id='mtq_was_selected-8-4-1' value='0'\/><input type='hidden' id='mtq_was_ever_selected-8-4-1' value='0'\/><input type='hidden' id='mtq_has_hint-8-4-1' value='0'\/><input type='hidden' id='mtq_num_ans-8-1' value='4' \/><input type='hidden' id='mtq_num_correct-8-1' value='1' \/> <div id=\"mtq_have_completed_string\" class=\"mtq_preload\">\r\n    Vous avez compl\u00e9t\u00e9    <\/div> <div id=\"mtq_questions_string\" class=\"mtq_preload\">\r\n    questions    <\/div> <div id=\"mtq_question_string\" class=\"mtq_preload\">\r\n    question    <\/div> <div id=\"mtq_your_score_is_string\"  class=\"mtq_preload\">\r\n    Votre score est de    <\/div> <div id=\"mtq_correct_string\"  class=\"mtq_preload\">\r\n    Correct    <\/div> <div id=\"mtq_wrong_string\"  class=\"mtq_preload\">\r\n    Faux    <\/div> <div id=\"mtq_partial_string\"  class=\"mtq_preload\">\r\n    R\u00e9ponse partielle    <\/div> <div id=\"mtq_exit_warning_string\"  class=\"mtq_preload\">\r\n    Vous n'avez pas fini votre quiz. Si vous quittez cette page, votre progression sera perdue.    <\/div> <div id='mtq_correct_answer_string' class='mtq_preload'>\r\n    R\u00e9ponses correctes    <\/div> <div id='mtq_you_selected_string' class='mtq_preload'>\r\n    Vous avez s\u00e9lectionn\u00e9    <\/div> <div id='mtq_not_attempted_string' class='mtq_preload'>\r\n    Pas essayer    <\/div> <div id='mtq_final_score_on_quiz_string' class='mtq_preload'>\r\n    Score final du quiz    <\/div> <div id='mtq_attempted_questions_correct_string' class='mtq_preload'>\r\n    Nombre de questions r\u00e9pondues de mani\u00e8re correcte    <\/div> <div id='mtq_attempted_questions_wrong_string' class='mtq_preload'>\r\n    Nombre de questions r\u00e9pondues de mani\u00e8re incorrecte    <\/div> <div id='mtq_questions_not_attempted_string' class='mtq_preload'>\r\n    Question non r\u00e9pondues    <\/div> <div id='mtq_total_questions_on_quiz_string' class='mtq_preload'>\r\n    Nombre total de questions dans le quiz    <\/div> <div id='mtq_question_details_string' class='mtq_preload'>\r\n    D\u00e9tail de la question    <\/div> <div id='mtq_quiz_results_string' class='mtq_preload'>\r\n    R\u00e9sultats    <\/div> <div id='mtq_date_string' class='mtq_preload'>\r\n    Date    <\/div> <div id='mtq_score_string' class='mtq_preload'>\r\n    Score    <\/div> <div id='mtq_hint_string' class='mtq_preload'>\r\n    Indice    <\/div>\r\n    <div id='mtq_time_allowed_string' class='mtq_preload'>Temps autoris\u00e9<\/div>\r\n<div id='mtq_minutes_string' class='mtq_preload'>minutes<\/div>\r\n<div id='mtq_seconds_string' class='mtq_preload'>secondes<\/div>\r\n<div id='mtq_time_used_string' class='mtq_preload'>Temps utilis\u00e9<\/div>\r\n<div id='mtq_answer_choices_selected_string' class='mtq_preload'>R\u00e9ponse(s) s\u00e9lectionn\u00e9e(s)<\/div>\r\n<div id='mtq_question_text_string' class='mtq_preload'>Texte de la question<\/div>\r\n\r\n\r\n    <input type='hidden' id='mtq_answer_display-1' value='2'\/>\r\n    <input type='hidden' id='mtq_autoadvance-1' value='0'\/>\r\n    <input type='hidden' id='mtq_autosubmit-1' value='0'\/>\r\n    <input type='hidden' id='mtq_single_page-1' value='1'\/>\r\n    <input type='hidden' id='mtq_show_hints-1' value='0'\/>\r\n    <input type='hidden' id='mtq_show_start-1' value='1'\/>\r\n    <input type='hidden' id='mtq_show_final-1' value='1'\/>\r\n    <input type='hidden' id='mtq_show_alerts-1' value='1'\/>\r\n    <input type='hidden' id='mtq_multiple_chances-1' value='0'\/>\r\n    <input type='hidden' id='mtq_proofread-1' value='0'\/>\r\n    <input type='hidden' id='mtq_scoring-1' value='0'\/>\r\n    <input type='hidden' id='mtq_vform-1' value='1'\/>\r\n    <input type=\"hidden\" name=\"quiz_id\" id=\"quiz_id-1\" value=\"6\" \/>\r\n    <input type=\"hidden\" name=\"mtq_total_questions\" id=\"mtq_total_questions-1\" value=\"8\" \/>\r\n    <input type=\"hidden\" name=\"mtq_current_score\" id=\"mtq_current_score-1\" value=\"0\" \/>\r\n    <input type=\"hidden\" name=\"mtq_max_score\" id=\"mtq_max_score-1\" value=\"0\" \/>\r\n    <input type=\"hidden\" name=\"mtq_questions_attempted\" id=\"mtq_questions_attempted-1\" value=\"0\" \/>\r\n    <input type=\"hidden\" name=\"mtq_questions_correct\" id=\"mtq_questions_correct-1\" value=\"0\" \/>\r\n    <input type=\"hidden\" name=\"mtq_questions_wrong\" id=\"mtq_questions_wrong-1\" value=\"0\" \/>\r\n    <input type=\"hidden\" name=\"mtq_questions_not_attempted\" id=\"mtq_questions_not_attempted-1\" value=\"0\" \/>\r\n    <input type=\"hidden\" id=\"mtq_display_number-1\" value=\"1\" \/>\r\n    <input type=\"hidden\" id=\"mtq_show_list_option-1\" value=\"0\" \/>\r\n    <input type=\"hidden\" id=\"mtq_show_stamps-1\" value=\"1\" \/>\r\n    <input type='hidden' id='mtq_num_ratings-1' value='6'\/><input type='hidden' id='mtq_ratingval-1-1' value='-1'\/><div id='mtq_rating-1-1' class='mtq_preload'>Fini<\/div><input type='hidden' id='mtq_ratingval-2-1' value='0'\/><div id='mtq_rating-2-1' class='mtq_preload'>Vous avez besoin de plus d'entra\u00eenement !<\/div><input type='hidden' id='mtq_ratingval-3-1' value='40'\/><div id='mtq_rating-3-1' class='mtq_preload'>Pers\u00e9v\u00e9rez !<\/div><input type='hidden' id='mtq_ratingval-4-1' value='60'\/><div id='mtq_rating-4-1' class='mtq_preload'>Pas mal !<\/div><input type='hidden' id='mtq_ratingval-5-1' value='80'\/><div id='mtq_rating-5-1' class='mtq_preload'>Bon travail !<\/div><input type='hidden' id='mtq_ratingval-6-1' value='100'\/><div id='mtq_rating-6-1' class='mtq_preload'>Parfait !<\/div>    <input type=\"hidden\" id=\"mtq_gf_present-1\" value=\"0\"\/>\r\n    <input type=\"hidden\" id=\"mtq_cf7_present-1\" value=\"0\"\/>\r\n    <input type=\"hidden\" id=\"mtq_quiz_in_form-1\" value=\"0\"\/>\r\n    <input type=\"hidden\" id=\"mtq_gf_formid_number-1\" value=\"\"\/>\r\n\r\n  <\/div>\r\n  \r\n  <!--Variables Div--> \r\n  <!--\/form--> \r\n<\/div>\r\n<!--Quiz area div-->\r\n\r\n\n<p><img loading=\"lazy\" class=\"wp-image-69 aligncenter\" src=\"http:\/\/mathquiz.fr\/wp-content\/uploads\/2018\/07\/int.png\" alt=\"\" width=\"150\" height=\"150\" srcset=\"https:\/\/mathquiz.fr\/wp-content\/uploads\/2018\/07\/int.png 300w, https:\/\/mathquiz.fr\/wp-content\/uploads\/2018\/07\/int-150x150.png 150w\" sizes=\"(max-width: 150px) 100vw, 150px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":24,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/mathquiz.fr\/index.php?rest_route=\/wp\/v2\/pages\/44"}],"collection":[{"href":"https:\/\/mathquiz.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathquiz.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathquiz.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathquiz.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=44"}],"version-history":[{"count":4,"href":"https:\/\/mathquiz.fr\/index.php?rest_route=\/wp\/v2\/pages\/44\/revisions"}],"predecessor-version":[{"id":134,"href":"https:\/\/mathquiz.fr\/index.php?rest_route=\/wp\/v2\/pages\/44\/revisions\/134"}],"up":[{"embeddable":true,"href":"https:\/\/mathquiz.fr\/index.php?rest_route=\/wp\/v2\/pages\/24"}],"wp:attachment":[{"href":"https:\/\/mathquiz.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=44"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}