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Mathematics
Jack Tiger Lam's user avatar
Jack Tiger Lam's user avatar
Jack Tiger Lam's user avatar
Jack Tiger Lam
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38
Bizarre Integral $\int_0^1 \frac{\tan^{-1}{\frac{88\sqrt{21}}{215+36x^2}}}{\sqrt{1-x^2}} {d}x = \frac{\pi^2}{6}$
Feb 24, 2017
34
Closure of $\left\{\frac{\tan{n}}{n} | \, n \in \mathbb{N}\right\}$
Jun 19, 2019
19
Combinatorial Geometric proof of $\binom{\binom{n}{2}}{3} > \binom{\binom{n}{3}}{2}$
Aug 20, 2021
12
Prove $\int_0^{\infty}\frac{\ln (x)}{(x^2+1)(x^3+1)}\ dx=-\frac{37}{432}\pi^2$ with real method
Sep 28, 2016
11
How to show the following integral $\int_0^\frac{\pi}{2} \cot^{-1}{\sqrt{1+\csc{\theta}}}\,\mathrm d\theta =\frac{\pi^2}{12}$
Apr 25, 2017
11
How to compute $\lim_{(x,y) \rightarrow (0,0)} \frac{xy^4}{x^2+y^8}$
Sep 29, 2016
10
Combinatorial Proof for $\sum_{k=0}^n \binom{2n}{2k}^2 = \frac{1}{2}\left( \binom{4n}{2n}+(-1)^n \binom{2n}{n} \right)$
Jul 26, 2021
10
Divisibility of term in exponential recurrence relation
Oct 6, 2016
10
Antiderivative of $\log(x)$ without Parts
Sep 29, 2016
9
Integral $\small \int_0^\infty \frac{(\pi x - 2\log{x})^3}{\left(\log^2{x} + \frac{\pi^2}{4}\right)(1+x^2)^2} \text{d}x$
Jun 4, 2019

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How long did this take in Heaven Sent?
5
What is the default 3D viewing angle in pgfplots?