不定积分(1-sin^3*x)dx求解

问题描述:

不定积分(1-sin^3*x)dx求解

$(1-sin^3*x)dx=$dx-$(sinx)^3dx
=x+$(sinx)^2dcosx
=x+$(1-(cosx)^2)dcosx
=x+$dcosx-$(cosx)^2dcosx
=x+cosx-(1/3)(cosx)^3+C