积分号sin^(4)x,这个不定积分怎么积分

如题所述

∫sin^(4)xdx = -(1/3)sin³xcosx + (3/4)∫sin²xdx
= -(1/3)sin³xcosx - (3/4)*(1/2)sinxcosx + (3/4)*(1/2) ∫dx
= -(1/3)sin³xcosx - (3/8)sinxcosx + (3/8)x + c
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