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Kemono Chen

A Chinese high school student, interested in evaluating integrals and other mathematical things.

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  • Member for 3 years, 1 month
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  • Last seen May 10 '20 at 8:15

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29 Evaluating $\int_0^1\ln(1+x^2)\ln(x^2+x^3)\frac{dx}{1+x^2}$ Oct 13 '18
28 Evaluate $\int_0^{\pi/4}{(4\cot x\ln\sec x-x)\ln^2\tan xdx}$ Jul 12 '19
22 Evaluate $\lim\limits_{x\to\infty}\frac1x\int_0^x\max\{\sin t,\sin(t\sqrt2)\}dt$ Jul 22 '18
21 Evaluating $\int_0^1\frac{x^{2/3}(1-x)^{-1/3}}{1-x+x^2}dx$ Feb 24 '19
16 Evaluate $\int_0^\infty{\frac{\tan x}{x^n}dx}$ Mar 17 '18
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 '20
15 Finding $\max |A|$ with $a_{ij}=\pm 1$ Sep 10 '18
15 On the relationship between $\Re\operatorname{Li}_n(1+i)$ and $\operatorname{Li}_n(1/2)$ when $n\ge5$ Nov 23 '19
14 Entire function $f(z)$ grows like $\exp(x^\pi)$ as $x\to+\infty$ Jan 15 '19
14 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 '19
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