sinx^3cosx^2的不定积分

问题描述:

sinx^3cosx^2的不定积分

∫sinx^3cosx^2dx
=-∫sin^2xcos^2xdcosx
=-∫(1-cos^2x)cos^2xdcosx
=-∫(-cos^4x+cos^2x)dcosx
=(1/5)cos^5x-(1/3)cos^3x+C