I need to evaluate \(\displaystyle{\int_{{0}}^{{1}}}{\frac{{{\log{{\left({x}\right)}}}}}{{{1}-{x}}}}{\left.{d}{x}\right.}\)

Justine White

Justine White

Answered question

2022-04-08

I need to evaluate
01log(x)1xdx

Answer & Explanation

uvredio0of6

uvredio0of6

Beginner2022-04-09Added 17 answers

We know that
0af(x)dx=0af(ax)dx
Using the fact
01log(x)1xdx=01log(1x)xdx

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