Residue calculus: $\int_{-\infty}^\infty e^{-x^2} \mathrm{d}x$
111775
$\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis
41372
Stuck on crucial step while computing $\int_{- \infty}^{\infty} e^{-t^2}dt$
66852
Integral $ \int_{-\infty}^{\infty}\frac{x^{2}}{\cosh\left(x\right)}\,{\rm d}x $
81914
Integrating $\int_0^1 \frac {\log(1-x)\log^2(1+x)}x \mathrm{d}x$
4287
Proving $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx = \frac{\sqrt \pi}{2}$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
10036
Proof of $\int_0^\infty \left(\frac{\sin x}{x}\right)^2 \mathrm dx=\frac{\pi}{2}.$
98710
Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
91196
Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$
104904
Calculating $\int_0^\infty \frac {\sin^2x}{x^2}dx$ using the Residue Theorem.
124445
Integral of the form $\int_{0}^{\infty}e^{-ax}e^{-x^{4}}dx$
108396
Integral $\int_0^{\infty} \frac{\log x}{\cosh^2x} \ \mathrm{d}x = \log\frac {\pi}4- \gamma$
33155
Use residues to evaluate $\int_0^\infty \frac{\cosh(ax)}{\cosh(x)}\,\mathrm{d}x$, where $|a|<1$
116778
Calculation of an integral via residue.
68368
Evaluate $\lim_{n \to \infty} \int_{0}^1 [x^n + (1-x)^n ]^{1/n} \ \mathrm{d}x$
109901
Computing $\int_0^\infty\frac1{(x+1)(x+2)\cdots(x+n)}\mathrm dx $
70830
How to evaluate $\int_{0}^{\infty}\exp(-x^2-1/x^2)dx$?