// Numbas version: exam_results_page_options {"name": "Definite Integrals 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"answer": "{b}+{c}{b}^2/2-{a}-{a}^2{c}/2", "scripts": {}, "prompt": "

$\\int_\\var{a}^\\var{b}(1 + \\var{c}x)dx$

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First, find $\\int (1 + \\var{c}x)dx$ [Do NOT put in the C ]

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$\\int_\\var{d}^\\var{f} (x^2 + \\var{g}x-\\var{h})dx$

"}, {"answer": "{k}^4/4-{l}{k}^3/3-{j}^4/4+{l}{j}^3/3", "scripts": {}, "vsetrangepoints": 5, "showCorrectAnswer": true, "showpreview": true, "marks": 1, "variableReplacements": [], "checkingaccuracy": 0.001, "checkingtype": "absdiff", "checkvariablenames": false, "expectedvariablenames": [], "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "type": "jme", "prompt": "

$\\int_\\var{j}^\\var{k}(x^3-\\var{l}x^2)dx$

"}, {"answer": "3/4*ln(4)", "scripts": {}, "prompt": "

 $\\int_1^4\\frac{3}{4x}dx$

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First, find $\\int \\frac{3}{4x}dx$ [Do NOT put in the constant C]

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$\\int_0^{\\frac{\\pi}{12}}\\sin{6x}\\,dx$

"}, {"answer": "34/3", "scripts": {}, "vsetrangepoints": 5, "showCorrectAnswer": true, "showpreview": true, "marks": 1, "variableReplacements": [], "checkingaccuracy": 0.001, "checkingtype": "absdiff", "checkvariablenames": false, "expectedvariablenames": [], "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "type": "jme", "prompt": "

$\\int_0^2x(2x+3)dx$

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First integrate the function and then substitute in the given limits.

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Evaluate the integrals: 

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Simple Definite Integrals

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