Mathematics
Pranav Arora's user avatar
Pranav Arora's user avatar
Pranav Arora's user avatar
Pranav Arora
  • Member for 9 years, 3 months
  • Last seen more than a month ago
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All Questions Answers
Score Newest
answer
82
Compute $\int_0^{\pi/4}\frac{(1-x^2)\ln(1+x^2)+(1+x^2)-(1-x^2)\ln(1-x^2)}{(1-x^4)(1+x^2)} x\exp(\frac{x^2-1}{x^2+1}) dx$
May 31, 2014
question
39
Integral: $\int_{-\infty}^{\infty} \frac{dx}{(e^x+x+1)^2+\pi^2}$
Dec 7, 2014
answer
36
Evaluating $\sum_{n \geq 1}\ln \!\left(1+\frac1{2n}\right) \!\ln\!\left(1+\frac1{2n+1}\right)$
Aug 12, 2015
question
29
Integral: $\int_0^{\pi/12} \ln(\tan x)\,dx$
Oct 20, 2014
answer
27
About $\int_0^{\pi/2}\arctan(1-\sin^2 (x) \cos^2 (x))dx = \pi \left( \frac{\pi}{4}-\arctan \sqrt{\frac{\sqrt{2}-1}{2}}\right)$
Dec 2, 2014
answer
25
How to integrate $\int \frac{1}{\sin^4x + \cos^4 x} \,dx$?
Jun 4, 2014
question
24
Integral: $\int_0^{\pi} \frac{x}{x^2+\ln^2(2\sin x)}\,dx$
Jul 26, 2014
answer
22
Another integral for $\pi$
Jul 18, 2014
question
21
Evaluating a sum involving binomial coefficient in denominator
Jul 3, 2014
answer
21
A tricky integral
May 4, 2014
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68
How can I efficiently cut out part of a video?
7
Searching for an element in log(n) time
5
Implementing graph and BFS in C++ using STL

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