不定积分中凑微分法求∫e^x乘以sin(e^x+1)dx

网友回答

∫e^x sin(e^x+1)dx
=∫sin(e^x+1)d（e^x+1)
=-cos(e^x+1) + C
验算：-cos(e^x+1)'
=-[-sin(e^x+1) × e^x]
=e^x sin(e^x+1)