Question

求sin^3(x)的积分，谁会啊~~？？

是sin(x)的三次方的不定积分

Answer 1

∫sin^3(x)dx
=∫sin^2(x)d(-cosx)
=-∫(1-cos^2(x))d(cosx)
= -cosx+(cos^3(x) )/ 3+C

Answer 2

∫sin³xdx
=-∫sin²xdcosx
=∫(cos²x-1)dcosx
=cos³x/3-cosx+C