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Special Integrals - 1

Evaluate ∫l...

Question

Evaluate $\int \frac{log (1 + x)}{(1 + x)} d x$

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Solution

Given integral can be read as $\int t d t$ for t=log(1+x)
SO answer is $\frac{t^{2}}{2}$ = $\frac{l o g^{2} (1 + x)}{2}$

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