∫cos∧2(ωx+φ)sin(ωx+φ)dx解法

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/14 01:04:36

令z = ωx + φ,dz = ω dx
∫ cos²(ωx + φ)sin(ωx + φ) dx
= ∫ cos²zsinz * (1/ω dz)
= (1/ω)∫ cos²z d(- cosz)
= (- 1/ω) * (1/3)cos³z + C
= [- 1/(3ω)]cos³(ωx + φ) + C

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