// Numbas version: exam_results_page_options {"name": "Antiderivatives", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Antiderivatives", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "

Antiderivatives

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rebel

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rebelmaths

"}, "extensions": [], "preamble": {"js": "", "css": ""}, "statement": "

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

", "variable_groups": [], "functions": {}, "variables": {"g": {"name": "g", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(2..5)"}, "b": {"name": "b", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(1..9 except a)"}, "f": {"name": "f", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(4,5,7,8)"}, "c": {"name": "c", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(2..4)"}, "a": {"name": "a", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "2*random(2..4)"}, "d": {"name": "d", "templateType": "anything", "group": "Ungrouped variables", "description": "", "definition": "random(3,5,7)"}}, "tags": [], "parts": [{"variableReplacements": [], "variableReplacementStrategy": "originalfirst", "checkVariableNames": false, "showCorrectAnswer": false, "showPreview": true, "answer": "{a}x^2/2-{b}x+C", "unitTests": [], "scripts": {}, "vsetRange": [0, 1], "marks": "2", "vsetRangePoints": 5, "valuegenerators": [{"name": "c", "value": ""}, {"name": "x", "value": ""}], "type": "jme", "useCustomName": false, "customName": "", "failureRate": 1, "checkingAccuracy": 0.001, "showFeedbackIcon": true, "prompt": "

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

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

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

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

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Don't forget to include the unknown constant C.

", "rulesets": {}, "ungrouped_variables": ["a", "c", "b", "d", "g", "f"], "contributors": [{"name": "Kieran Mulchrone", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1243/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}]}], "contributors": [{"name": "Kieran Mulchrone", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1243/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}