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Mathematics
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Vivek Kaushik

Undergraduate at University of Illinois Urbana Champaign passionate for mathematics.

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  • Member for 4 years, 8 months
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Top Posts (89) All Questions Answers | Votes Newest

19 Prove $\int_{0}^{\infty}\frac{2x}{x^8+2x^4+1}dx=\frac{\pi}{4}$ May 30 '16
17 A Challenging Integral: $\int_{0}^{1} \frac{x \arcsin(x/2) \log(x)}{x^2-1} \ dx=\frac{5 \pi^3}{1296}$ Feb 13
11 Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$? May 22 '16
7 Different methods to compute $\sum\limits_{k=1}^\infty \frac{1}{k^2}$ (Basel problem) Aug 13 '15
7 Prove $\lim_{x\to 1} \frac{x+2}{x^2+1}=\frac{3}{2}$ Sep 10 '17
7 Proof of Fresnel's Integral Dec 9 '16
5 Proving $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx = \frac{\sqrt \pi}{2}$ Aug 13 '15
5 What is the Jacobian matrix? May 26 '16
5 Does $\int_{0}^1\frac{\ln(1+x+x^2)}{x}\mathrm dx$ have a closed form? May 28 '16
5 Quadruple Integral $\int\limits_0^1\!\!\int\limits_0^1\!\!\int\limits_0^1\!\!\int\limits_0^1\frac1{1-xyzw}\,dw\,dz\,dy\,dx$ Jun 28 '17
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