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

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

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

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

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$\\int (\\frac{2}{x^4}+\\frac{3}{x}+1)\\mathrm{dx}$

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

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

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

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Simple Indefinite Integrals

\n

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Indefinite Integrals

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

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