Solving: $\int_{-\infty}^{+\infty}e^{-2i\pi xy-\pi x^2/r^2}dx$
137289
Applying Fourier transform to a gaussian
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
93759
Evaluate $\int_{0}^{\infty} \frac{e^{ax}-e^{bx}}{(1+e^{ax})(1+e^{bx})} dx$
42758
How to find $ \int_0^\infty \dfrac x{1+e^x}\ dx$
9730
Solve the integral $\int_0^\infty x/(x^3+1) dx$
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
94395
Integral: $\int_{-\infty}^{\infty} x^2 e^{-x^2}\mathrm dx$
104904
Calculating $\int_0^\infty \frac {\sin^2x}{x^2}dx$ using the Residue Theorem.
137549
Given $\int_0^{\infty}e^{-x^2}dx = \frac{\sqrt{\pi}}{2}$, evaluate $\int_0^{\infty}e^{-a^2x^2-\frac{b^2}{x^2}}dx $
96191
Integral $\int_0^{\infty} \sin(x^2)/x^2\,dx$
75423
Computing $\int_0^\infty\frac{1}{(1+x^{2015})(1+x^2)}$
48233
Evaluating $\int_0^\infty \frac{dx}{1+x^4}$.
143585
Solve the integral $\frac 1 {\sqrt {2 \pi t}}\int_{-\infty}^{\infty} x^2 e^{-\frac {x^2} {2t}}dx$
6014
Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
84034
Evaluate $\int_{-\infty}^{\infty} \chi_{[0,1]}(x-y) \chi_{[0,1]}(y) \, \mathrm{d}y$
70830
How to evaluate $\int_{0}^{\infty}\exp(-x^2-1/x^2)dx$?
91196
Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$