Result of $\int_{-\infty}^{\infty}\frac{\cos(ax)}{e^x+e^{-x}}$
106515
Use a rectangular contour to evaluate the integral
6014
Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
51991
What is the integral of $e^{\cos x}$
72039
Compute $\int_0^\infty\frac{\cos(xt)}{1+t^2}dt$
151649
Exact Values of the integal $\int_0^\infty \frac{r^{n-1}}{(1+r^2)^{\frac{s}{2}}}\,dr$
152339
Complex-valued Fourier integral: $ \int_{ - \infty }^{ + \infty } {\frac{{\cos (ax)}}{{{x^2} + 1}}{e^{ - ibx}}\,\mathrm dx} $
81057
Evaluation of $\int_{\frac{1}{e}}^{\tan x}\frac{t}{1+t^2}dt+\int_{\frac{1}{e}}^{\cot x}\frac{1}{t(1+t^2)}dt$
79633
Calculating the integral $\int_{-\infty}^{\infty} x\sin(x)/(x^2+1)^2 dx$
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 $
51488
Evaluating $\int^\pi_{-\pi} \cos^3(x) \cos(ax)~dx$
40881
Evaluate $\int_{0}^{+\infty }{\left( \frac{x}{{{\text{e}}^{x}}-{{\text{e}}^{-x}}}-\frac{1}{2} \right)\frac{1}{{{x}^{2}}}\text{d}x}$
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
105494
Gaussian-like integral : $\int_0^{\infty} e^{-x^2} \cos( a x) \ \mathrm{d}x$
48233
Evaluating $\int_0^\infty \frac{dx}{1+x^4}$.
81831
Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
8705
Evaluation of $\sum_{x=0}^\infty e^{-x^2}$
10547
$\int_0^\infty \frac{\sin(x^2+ax)}{x}\,dx$ converges