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Mathematics
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Zacky
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66
Proving that $\int_0^\pi\frac{x\ln(1-\sin x)}{\sin x}dx=3\int_0^\frac{\pi}{2}\frac{x\ln(1-\sin x)}{\sin x}dx$
Dec 28, 2019
45
Proving that $\int_0^1 \frac{\arctan x}{x}\ln\left(\frac{1+x^2}{(1-x)^2}\right)dx=\frac{\pi^3}{16}$
Dec 23, 2018
40
Integral for the New Year $2019$!
Dec 31, 2018
39
Definite integrals solvable using the Feynman Trick
Nov 15, 2018
36
Relation between the roots of a function
Feb 21, 2018
28
How to evaluate $\int\frac{1+x^4}{(1-x^4)^{3/2}}dx$?
Jul 21, 2018
27
Prove $\int_0^1\frac{1}{\sqrt{1-x^2}}\arccos\left(\frac{3x^3-3x+4x^2\sqrt{2-x^2}}{5x^2-1}\right)\mathrm dx=\frac{3\pi^2}{8}-2\pi\arctan\frac12$.
Apr 1
27
Show that $\int_0^{\pi/3}\arccos(2\sin^2 x-\cos x)\mathrm dx=\frac{\pi^2}{5}$
Jan 5
25
Integral $\int_0^\infty \frac{\ln x}{(\pi^2+\ln^2 x)(1+x)^2} \frac{dx}{\sqrt x}$
Jan 1, 2019
25
Integral $\int_0^1 \frac{dx}{\prod_{n=1}^\infty (1+x^n)}$
Dec 15, 2018
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Is it okay to give an answer with only "Yes" or "No" with no further details supporting the conclusion?
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Is it okay to re-ask a deleted question?
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Why were all the "triangles" bronze tag badges "Awarded Mar 25 at 4:00"?
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2020 Moderator Election Q&A - Question Collection
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Is it possible to search past answers of a deleted account?