求不定积分,如图

求不定积分,如图请写出具体步骤,分部积分
2025-05-11 10:41:41
推荐回答(2个)
回答1:

回答2:

x=x-1+1,拆项
=∫e^(-x)/(x-1)+e^(-x)/(x-1)²dx
=-∫1/(x-1)de^(-x)-∫e^(-x)d1/(x-1)
=-e^(-x)/(x-1)
=e^(-x)/(1-x)