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Show that : int0^1(logx)/((1+x))dx=-int0...

Show that : `int_0^1(logx)/((1+x))dx=-int_0^1(log(1+x))/x dx`

Text Solution

Verified by Experts

The correct Answer is:
NA
Let `I=int_(0)^(1)(logx)/((1+x))dx`
`=[log x log (1+x)]_(0)^(1)-int_(0)^(1)(log(1+x))/x dx`
`=0-int_(0)^(1)(log(1+x))/x dx`
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