Mathematics
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omegadot
  • Member for 8 years, 3 months
  • Last seen this week
  • Nowra, New South Wales, Australia
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About

Like G. H. Hardy once famously said,“I could never resist the challenge of a definite integral,” and I tend to have to agree.

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All Questions Answers
Score Newest
question
21
On the evalution of an infinite sum
Jan 26, 2019
answer
18
Evaluate $\int_0^{\pi/4}{(4\cot x\ln\sec x-x)\ln^2\tan xdx}$
Jul 12, 2019
answer
17
Unexpected appearances of $\pi^2 /~6$.
Jan 18, 2020
question
17
Another interesting integral related to the Omega constant
Feb 21, 2014
question
14
A conjectured value for $\operatorname{Re} \operatorname{Li}_4 (1 + i)$
Jul 12, 2019
answer
13
Solving the integral $\int_0^1\int_0^1\frac{1}{(1-\alpha x^\beta y^\gamma)^2}dxdy$
Feb 14, 2018
question
12
Evaluating $\int_0^{\pi/2} \log(1 - x \cot x) \, dx\;$ (Is there a closed form?)
Mar 21, 2021
question
11
How many ways to colour a $4 \times 4$ grid using four colours subject to three constraints
Apr 27, 2018
answer
11
Evaluating $\int_0^1\frac{x^{2/3}(1-x)^{-1/3}}{1-x+x^2}dx$
Feb 25, 2019
answer
10
Is there a closed-form solution for $\sum_{n=1}^{\infty} \sum_{m=1}^{\infty} \frac{1}{nm(3n+m)}$?
Jul 16, 2019
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11
Freeze water in red-hot container
6
Triangular numbers (again) in TikZ

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