作业帮积分 sinxcosx/(1+sin^2x)^5 dx
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积分 sinxcosx/(1+sin^2x)^5 dx
积分 sinxcosx/(1+sin^2x)^5 dx
积分 sinxcosx/(1+sin^2x)^5 dx
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原式=1/2∫1/(1+sin²x)^5 dsin²x
=1/2×1/（-4）×1/(1+sin²x)^4+c
=-1/[8(1+sin²x)^4]+c
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