// Numbas version: exam_results_page_options {"name": "Josh's copy of Indefinite Integrals", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"description": "

Indefinite Integrals

\n

rebel

\n

rebelmaths

", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "

Solve the following indefinite integrals, using $C$ to represent an unknown constant.

", "variable_groups": [], "preamble": {"css": "", "js": ""}, "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"b": {"templateType": "anything", "description": "", "name": "b", "definition": "random(2..9 except a)", "group": "Ungrouped variables"}, "c": {"templateType": "anything", "description": "", "name": "c", "definition": "random(1..9 except a except b)", "group": "Ungrouped variables"}, "a": {"templateType": "anything", "description": "", "name": "a", "definition": "random(2..9)", "group": "Ungrouped variables"}, "f": {"templateType": "anything", "description": "", "name": "f", "definition": "random(1..8 except d)", "group": "Ungrouped variables"}, "d": {"templateType": "anything", "description": "", "name": "d", "definition": "random(1..8)", "group": "Ungrouped variables"}}, "name": "Josh's copy of Indefinite Integrals", "ungrouped_variables": ["a", "c", "b", "d", "f"], "tags": [], "parts": [{"showPreview": true, "type": "jme", "vsetRange": [0, 1], "showFeedbackIcon": true, "useCustomName": false, "customMarkingAlgorithm": "", "marks": 1, "unitTests": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "scripts": {}, "vsetRangePoints": 5, "variableReplacementStrategy": "originalfirst", "answer": "x^5/5-{a}x^4/4+{b}x^2/2-{c}x+C", "variableReplacements": [], "checkVariableNames": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "x", "value": ""}], "prompt": "

$\\int(x^4-\\var{a}x^3+\\var{b}x-\\var{c})\\mathrm{dx}$

", "failureRate": 1, "checkingType": "absdiff", "customName": "", "musthave": {"partialCredit": 0, "message": "Did you forget the constant of integration?", "showStrings": false, "strings": ["C"]}}, {"showPreview": true, "type": "jme", "vsetRange": [0, 1], "showFeedbackIcon": true, "useCustomName": false, "customMarkingAlgorithm": "", "marks": 1, "unitTests": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "scripts": {}, "vsetRangePoints": 5, "variableReplacementStrategy": "originalfirst", "answer": "2u^3/3+u^2({f}+2{d})/2+{d}{f}u+C", "variableReplacements": [], "checkVariableNames": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "u", "value": ""}], "prompt": "

$\\int(u+\\var{d})(2u+\\var{f})\\mathrm{du}$

", "failureRate": 1, "checkingType": "absdiff", "customName": ""}, {"showPreview": true, "type": "jme", "vsetRange": [0, 1], "showFeedbackIcon": true, "useCustomName": false, "customMarkingAlgorithm": "", "marks": 1, "unitTests": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "scripts": {}, "vsetRangePoints": 5, "variableReplacementStrategy": "originalfirst", "answer": "2sin(x) + C", "variableReplacements": [], "checkVariableNames": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "x", "value": ""}], "prompt": "

$\\int\\frac{\\sin(2x)}{\\sin(x)}\\mathrm{dx}$.

\n

Take care to include the brackets in the trigonometric expressions, i.e. write sin(x) rather than sinx.

", "failureRate": 1, "checkingType": "absdiff", "customName": ""}], "extensions": [], "advice": "

Indefinite Integrals

", "functions": {}, "rulesets": {}, "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}, {"name": "Josh Lim", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2990/"}]}]}], "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}, {"name": "Josh Lim", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2990/"}]}