Evaluating $\int_{-\infty}^{\infty} e^{-{(x-1)}^2} dx$
68319
How can I evaluate $\int_{-\infty}^{\infty} e^{-x^2} dx$ without using polar coordinates
3068
Evaluating $\int_0^\infty \sin x^2\, dx$ with real methods?
44737
$ \int_{-\infty}^{\infty} x^4 e^{-ax^2} dx$
109901
Computing $\int_0^\infty\frac1{(x+1)(x+2)\cdots(x+n)}\mathrm dx $
57224
Compute $\int_0^\infty \frac{dx}{1+x^3}$
157255
Using residue theorem to integrate from $-\infty$ to $\infty$
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
77721
Is it possible to compute $\int_1^{+ \infty} \frac{dx}{x^2(1+e^x)}$?
141892
How to evaluate $\int_0^\infty \frac{1}{x^n+1} dx$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
65407
Evaluating $\int\limits_0^\infty \frac{\log x} {(1+x^2)^2} dx$ with residue theory
19514
$\int_0^{\infty } \frac{\log (x)}{e^x+1} \, dx = -\frac{1}{2} \log ^2(2)$ How to show?
100194
Calculating $ \int _{0} ^{\infty} \frac{x^{3}}{e^{x}-1}\;dx$
87273
Evaluate the integral $\int_0^{\infty} \lfloor x \rfloor e^{-x}\mathrm dx$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$