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Robert Lee's user avatar
Robert Lee
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It's not trivial.

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25
How to prove $\int_0^1 \frac{\arctan^2(x)\ln\left(\frac{x}{(1-x)^2}\right)}x \, \mathrm{d}x=G^2$?
Mar 16, 2022
17
What other tricks and techniques can I use in integration?
Apr 26, 2021
16
How to prove $\int_{0}^{\infty} \frac{(1-x^2) \, \text{sech}^2\left(\frac{\pi x}{2} \right)}{(1+x^2)^2}\, dx = \frac{\zeta(3)}{\pi}$?
Sep 17, 2021
15
Integral of the shark function
Sep 11, 2021
15
Find the value of $\displaystyle \int \limits _{0}^{\infty} \dfrac{\mathrm dx}{\sqrt{x^n+a} + \sqrt{x^n+b}}$
Mar 9, 2022
14
Relation between $\ln$ and $\arctan$
Dec 26, 2023
13
How to show $ \int_{-\infty}^{\infty} \frac{e^{-(x+1)^2}}{1+e^{-x}}\mathrm{d}x = \frac{\left(2\sqrt[4]{e} -1 \right)\sqrt{\pi}}{2e}$?
Sep 25, 2022
12
Find matrix $A\in \mathcal{M}_n (\mathbb{N})$ such that $A^k =\left( \sum_{i=1}^{k}10^{i-1} \right)A$.
Sep 27, 2020
10
How can I prove that these definitions of curl are equivalent?
Jul 13, 2020
8
How can I solve this defined integration in an efficient way?
May 11, 2022
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8
How do I create this semi-enclosed arrow symbol?
6
Could Throg survive being locked in a jar?
5
Any TV news pieces/stickers?