一道不定积分,求解

不定积分,求解
2025-05-23 03:37:45
推荐回答(2个)
回答(1):

回答(2):

∫x/(1-x)³dx
=-∫(1-x-1)/(1-x)³dx
=-∫(1-x)/(1-x)³dx+∫1/(1-x)³dx
=∫1/(1-x)²d(1-x)-∫1/(1-x)³d(1-x)
=-1/(1-x)+1/2(1-x)²+C