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Favorite Question

Question saved by 25 users. This badge can be awarded multiple times.

Shobhit Bhatnagar

11.6k5 gold badges54 silver badges88 bronze badges

earned this badge 5 times.

Evaluate $\int_0^\infty \frac{\log(1+x^3)}{(1+x^2)^2}dx$ and $\int_0^\infty \frac{\log(1+x^4)}{(1+x^2)^2}dx$

Awarded Nov 4, 2023 at 6:26

Evaluating $\int_0^1 \frac{x \arctan x \log \left( 1-x^2\right)}{1+x^2}dx$

Awarded Jan 9, 2023 at 20:17

Evaluating $\int_0^1 \frac{\log x \log \left(1-x^4 \right)}{1+x^2}dx$

Awarded Nov 18, 2022 at 6:42

Prove $\int_0^\infty \frac{\ln \tan^2 (ax)}{1+x^2}\,dx = \pi\ln \tanh(a)$

Awarded Jun 3, 2017 at 22:34

Evaluate $\int_0^1 \frac{\log \left( 1+x^{2+\sqrt{3}}\right)}{1+x}\mathrm dx$

Awarded Jan 11, 2014 at 8:44

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