Series as an integral (sophomore's dream)
12423
"Closed" form for $\sum \frac{1}{n^n}$
31529
Integrating $\int^2_{-2}\frac{x^2}{1+5^x}$
149895
A more convenient Fourier series
6908
Convergence/Divergence of some series
133073
Evaluating series with factorial denominator (sanity check).
120238
I have a question about properties of series.
19778
Integrating squared absolute value of a complex sequence
6571
A Challenging Integral $\int_0^{\frac{\pi}{2}}\log \left( x^2+\log^2(\cos x)\right)dx$
21775
When can a sum and integral be interchanged?
56007
Does this tricky series converge?
47753
Closed form of series with factorial-squared denominator?
35036
Series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^2}$
56231
Infinite series for $e$...
149658
How would you show that the series $\sum_{n=1}^\infty \frac{(2n)!}{4^n (n!)^2}$ diverges?
11391
Series that converge to $\pi$ quickly
117863
Series $\sum_{n=1}^\infty \frac{n^n}{(n!)^2}$
76115
Very difficult integral (for me)