求不定积分∫e^2x * cos e^x dx
问题描述：
求不定积分∫e^2x * cos e^x dx
答
∫e^2x * cos e^x dx = ∫e^x * cos e^x d(e^x) = ∫y*cosydy ___________________y = e^x = ∫ydsiny = y*siny - ∫sinydy = y*siny +cosy + C= e^x*sin(e^x) + cos(e^x) + C