// Numbas version: exam_results_page_options {"name": "Indefinite Integrals 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "name": "Indefinite Integrals 1", "advice": "

Indefinite Integrals

", "statement": "

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

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

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

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

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$\\int{(\\frac{1}{4}\\sqrt{x}-3\\sqrt{x^5})}\\mathrm{dx}$

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Simple Indefinite Integrals

\n

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