∫sinxcosx/(1+sin^4x)dx
问题描述：
∫sinxcosx/(1+sin^4x)dx
答
∫sinxcosx/(1+sin^4x)dx
=∫sinx/(1+sin^4x)d(sinx)
=1/2*∫1/(1+(sin^2x)^2)d(sin^2x)
=1/2*arctan(sin^2x)+C