# Integration of log(1-x) from 0 to 1

##### Member
How to evaluate $$\displaystyle \int^1_0 log(1-x) dx$$

#### chisigma

##### Well-known member
How to evaluate $$\displaystyle \int^1_0 log(1-x) dx$$

The fact that ln x is undefined for x=0 has no importance... what You have to do is computing...

$\displaystyle \lim_{t \rightarrow 1} \int_{0}^{t} \ln (1-x)\ dx$

Kind regards

$\chi$ $\sigma$

#### ZaidAlyafey

##### Well-known member
MHB Math Helper
How to evaluate $$\displaystyle \int^1_0 log(1-x) dx$$