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Top Questions
17
votes
when a real-valued integral can't be evaluated using contour integration
complex-analysis
integral
asked Mar 31 '12 at 19:27
math.stackexchange.com
12
votes
$\prod_{n=2}^{\infty}\left(1-\frac{1}{n^3}\right)$
real-analysis
gamma-function
infinite-product
asked Mar 3 at 20:34
math.stackexchange.com
7
votes
integral with hyperbolic cosines
complex-analysis
integral
asked Jan 30 at 3:48
math.stackexchange.com
7
votes
Evaluating $\int_{0}^{\infty}\Big( \frac{x^{a-1}}{\sinh x} - x^{a-2} \Big) \ dx$
complex-analysis
definite-integral
asked May 8 at 19:44
math.stackexchange.com
6
votes
improper integral with an absolute value
complex-analysis
integral
asked Jan 24 at 17:13
math.stackexchange.com
6
votes
determining if a complex number is a root of unity
algebra-precalculus
complex-numbers
asked Jan 30 at 16:49
math.stackexchange.com
6
votes
Can you integrate near some essential singularities?
complex-analysis
asked Apr 7 at 16:14
math.stackexchange.com
5
votes
bringing a limit inside of an integral
real-analysis
limit
integration
asked Mar 16 '12 at 3:03
math.stackexchange.com
5
votes
Evaluating $ \int_{-\infty}^{\infty} \frac{\cos \left(x-\frac{1}{x} \right)}{1+x^{2}} \ dx$
complex-analysis
integration
contour-integration
asked Apr 18 at 17:55
math.stackexchange.com
5
votes
Evaluating $\sum_{n=1}^{\infty} \frac{n}{e^{2 \pi n}-1}$ using the inverse Mellin transform
sequences-and-series
complex-analysis
asked May 15 at 18:41
math.stackexchange.com
Top Answers
11
About a harmonic series problem : How to prove that $\sum_{n=1}^{\infty}\frac{H_n}{n^3}=\frac{\pi^4}{72}$
math.stackexchange.com
7
$\lim_{n \to \infty} \displaystyle \int_1^a \dfrac{n}{1+x^n}dx$
math.stackexchange.com
5
How do I approach the following integral?
math.stackexchange.com
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