求大神这两个积分题怎么算

2025-06-21 13:49:16
推荐回答(1个)
回答1:

=t∫e^(-3u)du-∫ue^(-3u)du
=(-t/3)e^(-3u)+1/3∫ude^(-3u)
=(-t/3)(e^(-3t)-1)+ue^(-3u)/3-1/3∫e^(-3u)du
=t/3+e^(-3u)/9
=t/3+(e^(-3t)-1)/9