// Numbas version: exam_results_page_options {"name": "Simple Antiderivatives", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"js": "", "css": ""}, "tags": [], "ungrouped_variables": ["a", "c", "b", "d", "g", "f"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "

Antiderivatives

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rebel

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rebelmaths

"}, "parts": [{"scripts": {}, "vsetrange": [0, 1], "showFeedbackIcon": true, "checkvariablenames": false, "type": "jme", "prompt": "

$f(x) = \\var{a}x - \\var{b}$

", "showCorrectAnswer": true, "answer": "{a}x^2/2-{b}x+C", "checkingaccuracy": 0.001, "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "checkingtype": "absdiff", "marks": 1, "variableReplacements": [], "showpreview": true}, {"scripts": {}, "vsetrange": [0, 1], "showFeedbackIcon": true, "checkvariablenames": false, "type": "jme", "prompt": "

$f(x) = \\frac{1}{\\var{c}}+ \\frac{2}{\\var{d}}x^2 - \\frac{3}{\\var{f}}x^3$

", "showCorrectAnswer": true, "answer": "1/{c}x+2/(3{d})x^3-3x^4/(4{f})+C", "checkingaccuracy": 0.001, "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "checkingtype": "absdiff", "marks": 1, "variableReplacements": [], "showpreview": true}, {"scripts": {}, "vsetrange": [0, 1], "showFeedbackIcon": true, "checkvariablenames": false, "type": "jme", "prompt": "

$f(x) = e^\\var{g}$

", "showCorrectAnswer": true, "answer": "e^{g}x+C", "checkingaccuracy": 0.001, "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "checkingtype": "absdiff", "marks": 1, "variableReplacements": [], "showpreview": true}, {"scripts": {}, "vsetrange": [0, 1], "showFeedbackIcon": true, "checkvariablenames": false, "type": "jme", "prompt": "

$f(x) = e^{\\var{g}x}$

", "showCorrectAnswer": true, "answer": "e^({g}x)/{g}+C", "checkingaccuracy": 0.001, "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "checkingtype": "absdiff", "marks": 1, "variableReplacements": [], "showpreview": true}], "rulesets": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "functions": {}, "name": "Simple Antiderivatives", "statement": "

Find the most general antiderivatives of the functions. Use the letter C to represent an unknown constant.