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Mathematics
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Kemono Chen's user avatar
Kemono Chen's user avatar
Kemono Chen
  • Member for 6 years, 6 months
  • Last seen more than 4 years ago
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A Chinese high school student, interested in evaluating integrals and other mathematical things.

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32
On the relationship between $\Re\operatorname{Li}_n(1+i)$ and $\operatorname{Li}_n(1/2)$ when $n\ge5$
Nov 23, 2019
30
Evaluate $\int_0^{\pi/4}{(4\cot x\ln\sec x-x)\ln^2\tan xdx}$
Jul 12, 2019
30
Evaluating $\int_0^1\ln(1+x^2)\ln(x^2+x^3)\frac{dx}{1+x^2}$
Oct 13, 2018
22
Evaluate $\lim\limits_{x\to\infty}\frac1x\int_0^x\max\{\sin t,\sin(t\sqrt2)\}dt$
Jul 22, 2018
21
Evaluating $\int_0^1\frac{x^{2/3}(1-x)^{-1/3}}{1-x+x^2}dx$
Feb 24, 2019
17
Evaluate $\int_0^1 \log \left( \frac{x^2+\sqrt{3}x+1}{x^2-\sqrt{3}x+1} \right) \frac{dx}{x} $
Jan 7, 2019
16
Evaluate $\int_0^\infty{\frac{\tan x}{x^n}dx}$
Mar 17, 2018
16
Limit $\lim_{n\to\infty}\sum_{k=0}^n\frac{n^{2k}}{(k!)^2}\big/\sum_{k=0}^\infty\frac{n^{2k}}{(k!)^2}$
Feb 20, 2020
16
Finding $\max |A|$ with $a_{ij}=\pm 1$
Sep 10, 2018
15
Entire function $f(z)$ grows like $\exp(x^\pi)$ as $x\to+\infty$
Jan 15, 2019
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Strange new users with Chinese/Korean usernames
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Should I delete question that is an open problem and has been discussed in papers?
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On reposting a good answer from a duplicate question
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Mechanism of the formation of peracetic acid