求(1-lnx)dx⼀(x-lnx)^2的不定积分

2024-12-18 16:06:00
推荐回答(2个)
回答1:

1- lnx = (x - lnx) - x ( 1 - 1/x) 凑微分
∫[ (1-lnx) /(x-lnx)^2 ] dx = x /(x - lnx) + C

回答2:

>> int('(1-log(x))/(x-log(x))^2',x)

ans =

x/(x - log(x))
所以不定积分=x/(x - log(x))+C