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{"name": "Simple Indefinite Integrals", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"advice": "<p>Indefinite Integrals</p>", "functions": {}, "ungrouped_variables": ["a", "c", "b", "d", "f"], "rulesets": {}, "tags": ["Rebel", "REBEL", "rebel", "rebelmaths"], "variables": {"a": {"definition": "random(2..9)", "name": "a", "description": "", "templateType": "anything", "group": "Ungrouped variables"}, "c": {"definition": "random(1..9 except a except b)", "name": "c", "description": "", "templateType": "anything", "group": "Ungrouped variables"}, "b": {"definition": "random(2..9 except a)", "name": "b", "description": "", "templateType": "anything", "group": "Ungrouped variables"}, "d": {"definition": "random(1..8)", "name": "d", "description": "", "templateType": "anything", "group": "Ungrouped variables"}, "f": {"definition": "random(1..8 except d)", "name": "f", "description": "", "templateType": "anything", "group": "Ungrouped variables"}}, "extensions": [], "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "parts": [{"scripts": {}, "marks": 1, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "answer": "x^5/5-{a}x^4/4+{b}x^2/2-{c}x+C", "vsetrangepoints": 5, "expectedvariablenames": [], "prompt": "<p>$\\int(x^4-\\var{a}x^3+\\var{b}x-\\var{c})\\mathrm{dx}$</p>", "variableReplacements": [], "type": "jme", "checkvariablenames": false, "vsetrange": [0, 1], "showpreview": true, "showCorrectAnswer": true, "checkingtype": "absdiff", "showFeedbackIcon": true}, {"scripts": {}, "marks": 1, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "answer": "2u^3/3+u^2({f}+2{d})/2+{d}{f}u+C", "vsetrangepoints": 5, "expectedvariablenames": [], "prompt": "<p>$\\int(u+\\var{d})(2u+\\var{f})\\mathrm{du}$</p>", "variableReplacements": [], "type": "jme", "checkvariablenames": false, "vsetrange": [0, 1], "showpreview": true, "showCorrectAnswer": true, "checkingtype": "absdiff", "showFeedbackIcon": true}, {"scripts": {}, "marks": 1, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "answer": "2sin(x) + C", "vsetrangepoints": 5, "expectedvariablenames": [], "prompt": "<p>$\\int\\frac{\\sin(2x)}{\\sin(x)}\\mathrm{dx}$.</p>\n<p>Take care to include the brackets in the trigonometric expressions, i.e. write sin(x) rather than sinx.</p>", "variableReplacements": [], "type": "jme", "checkvariablenames": false, "vsetrange": [0, 1], "showpreview": true, "showCorrectAnswer": true, "checkingtype": "absdiff", "showFeedbackIcon": true}], "statement": "<p>Solve the following indefinite integrals, using $C$ to represent an unknown constant.</p>", "name": "Simple Indefinite Integrals", "preamble": {"js": "", "css": ""}, "metadata": {"description": "<p>Indefinite Integrals</p>\n<p>rebel</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "contributors": [{"name": "Kieran Mulchrone", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1243/"}]}]}], "contributors": [{"name": "Kieran Mulchrone", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1243/"}]}