Evaluate: _0^1 2x 1 + x^ 2 dx. - Vidyadip

Question

Evaluate:$\int\limits_0^1\frac{\text{2x}}{\text{1 + x}^{2}}\text{dx}$.

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Answer

$\Big[\log|1+\text{x}^{2}|\Big]_0^{1}=\log2$.

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