Question:
Prove that
$\int_{0}^{1} \frac{\log (1+x)}{\left(1+x^{2}\right)} d x=\frac{\pi}{8}(\log 2)$
Solution:
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Prove that
$\int_{0}^{1} \frac{\log (1+x)}{\left(1+x^{2}\right)} d x=\frac{\pi}{8}(\log 2)$