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∫ t^2 * sin(t) dt

分类: 作业答案 • 2022-01-28 21:42:35

问题描述：

∫ t^2 * sin(t) dt

答

∫ t^2 * sin(t) dt
=- ∫ t²dcost
=-∫ t²cost+ ∫costd t²
=- t²cost+ 2∫tcostdt
=- t²cost+ 2∫tdsint
=- t²cost+ 2tsint-2∫sintdt
=- t²cost+ 2tsint+2cost+C

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∫ t^2 * sin(t) dt

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