How can I integrate the exponential $\int_{-\infty}^{\infty} e^{-au^2} du$?
4287
Proving $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx = \frac{\sqrt \pi}{2}$
91196
Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$
6014
Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
106878
How to integrate $\int \frac{e^x dx}{1\,+\,e^{2x}}$
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
33005
How to evaluate $\int_{0}^{+\infty}\exp(-ax^2-\frac b{x^2})\,dx$ for $a,b>0$
44737
$ \int_{-\infty}^{\infty} x^4 e^{-ax^2} dx$
93759
Evaluate $\int_{0}^{\infty} \frac{e^{ax}-e^{bx}}{(1+e^{ax})(1+e^{bx})} dx$
100569
Evaluating the improper integral $\int_{0}^{\infty} \frac{x^3}{e^{x}-1} dx$
94395
Integral: $\int_{-\infty}^{\infty} x^2 e^{-x^2}\mathrm dx$
123694
How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$
22099
Integrate $e^{ax}\sin(bx)?$
152339
Complex-valued Fourier integral: $ \int_{ - \infty }^{ + \infty } {\frac{{\cos (ax)}}{{{x^2} + 1}}{e^{ - ibx}}\,\mathrm dx} $
90095
Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
115375
Indefinite integral of $e^{x^n}$
15625
Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$