这道不定积分问题求解,需要详细过程,谢谢

2024-11-23 11:42:53
推荐回答(1个)
回答1:

=∫拿粗sintde^t
=sinte^t-∫含敏兄e^tdsint
=sinte^t-∫谈袭costde^t
=sinte^t-coste^t+∫e^tdcost
=sinte^t-coste^t-∫sintde^t
=e^t(sint-cost)/2+C
=x(sinlnx-coslnx)/2+C