On evaluating $\int_0^\infty e^{-x^2}\,dx$
4287
Proving $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx = \frac{\sqrt \pi}{2}$
58475
Does $\int_0^\infty |\cos(x^2)| \mathrm dx$ converge?
24716
$\int_0^\infty\frac{\log x dx}{x^2-1}$ with a hint.
124445
Integral of the form $\int_{0}^{\infty}e^{-ax}e^{-x^{4}}dx$
97039
Use integral test to show that Gaussian Integral $\int_{-\infty}^{\infty} e^{-x^2} \ dx$ converges?
123694
How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$
100180
Evaluate the integral $\int_0^\infty \frac{dx}{\sqrt{(x^3+a^3)(x^3+b^3)}}$
109901
Computing $\int_0^\infty\frac1{(x+1)(x+2)\cdots(x+n)}\mathrm dx $
41372
Stuck on crucial step while computing $\int_{- \infty}^{\infty} e^{-t^2}dt$
87273
Evaluate the integral $\int_0^{\infty} \lfloor x \rfloor e^{-x}\mathrm dx$
100711
$\int_{-\infty}^{\infty}e^{-zt^2 + 2wt} \ dt = e^{w^2 / z} \sqrt{\frac{\pi}{z}}$ for $z,w \in \mathbb{C}, Re(z) > 0$
107351
Evaluate the improper integral $\int_{0}^{\infty}{f(x)-f(2x)\over x}dx$, where $\lim_{x \to \infty} f(x) = L$
115375
Indefinite integral of $e^{x^n}$
51971
How to evaluate the integral $\int e^{x^3}dx $
39798
Computing $\lim_{n \to \infty} \int_0^{n^2} e^{-x^2}n\sin\frac{x}{n}\,dx$?
121736
An improper integral : $\int_{0}^\infty {\ln(a^2+x^2)\over{b^2+x^2}}dx$
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis