Calculating the integral of an infinite product
88708
An integration of product $(1-x^n)$
13978
Calculating the integral $\int_0^\infty \frac{\cos x}{1+x^2}\, \mathrm{d}x$ without using complex analysis
67533
A question on integration
63988
General formula for evaluating integrals of the form $\displaystyle\int_0^\infty x^ae^{-bx}dx$
1417
How to integrate the product of two or more polynomials raised to some powers, not necessarily integral
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
125887
Evaluate an infinite product in a closed form $\prod\limits_{n=1}^{\infty} \frac{1}{1+\pi^{1/{2^n}}}$
67263
Compute integral $\int_{-\infty}^\infty \frac{x^4}{1+x^8} \, dx$
121071
Calculation of $\int^{\pi/2}_{0}\cos^{n}(x)\cos (nx)\,dx$, where $n\in \mathbb{N}$
84884
Need help with the integral $\int_{0}^\infty e^{-x^{2}}x^{2n+1}dx $
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
33677
How to read infinite Cartesian product definition
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
140638
Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
152358
integration using residue
6558
Evaluating the infinite product $\prod\limits_{k=2}^\infty \left ( 1-\frac1{k^2}\right)$