求(cosx)^3的不定积分,

2024-11-15 17:24:18
推荐回答(1个)
回答1:

∫(cosx)^3dx
=∫(1-sin^2 x)dsinx
=∫dsinx-∫sin^2 x dsinx
=sinx-1/3 *∫dsin^3 x
=sinx-(sin^3 x)/3+C