sin^2(x)cos^2(x)积分等于多少 - 知识问答

sin^2(x)cos^2(x)积分等于多少

1个回答

∫[sin^2(x)]*[cos^2(x)]dx
=∫（sinxcosx）^2dx
=∫（sin2x/2）^2dx
=1/4∫(sin2x)^2dx
=1/8∫(1-cos4x)dx
=x/8-1/32∫cos4xd4x
=x/8-1/32sin4x+C

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