sin^2(x)cos^2(x)积分等于多少

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sin^2(x)cos^2(x)积分等于多少sin^2(x)cos^2(x)积分等于多少sin^2(x)cos^2(x)积分等于多少∫[sin^2(x)]*[cos^2(x)]dx=∫(sinxcos

sin^2(x)cos^2(x)积分等于多少
sin^2(x)cos^2(x)积分等于多少

sin^2(x)cos^2(x)积分等于多少
∫[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