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Simple Indefinite Integrals

\n

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

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Indefinite Integrals

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

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

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$\\int(q^3+\\sqrt{q})\\mathrm{dq}$

", "answer": "q^4/4+2/3q^(3/2)+C", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "q", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "

$\\int(x^2-6+x/2)\\mathrm{dx}$

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$\\int(3/4-2p+4/p^2)\\mathrm{dp}$

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