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Zacky

Apparently, this user prefers to keep an air of awesomeness about them.

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  • Member for 2 years, 9 months
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38 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 '18
36 Integral for the New Year $2019$! Dec 31 '18
34 Relation between the roots of a function Feb 21 '18
27 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 '19
25 How to evaluate $\int\frac{1+x^4}{(1-x^4)^{3/2}}dx$? Jul 21 '18
25 Integral $\int_0^\infty \frac{\ln x}{(\pi^2+\ln^2 x)(1+x)^2} \frac{dx}{\sqrt x}$ Jan 1 '19
24 Integral $\int_0^1 \frac{dx}{\prod_{n=1}^\infty (1+x^n)}$ Dec 15 '18
23 Integral $\int_0^1 \frac{2x-1}{1+x-x^2}\left(4\ln x\ln(1+x)-\ln^2(1+x)\right)dx$ Oct 5 '19
21 A lucky proof for the Basel problem. Jul 28 '19
20 A difficult double integral $\int_{0}^{1}\int_{0}^{1}\frac{x\ln x \ln y }{1-xy}\frac{dxdy}{\ln(xy)}$ Jul 6 '19
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