Complex integration $\int_{-\infty}^{\infty}\frac{e^{cx}}{1+e^x}\,dx$ for $c \in (0,1)$
29546
Residue integral: $\int_{- \infty}^{+ \infty} \frac{e^{ax}}{1+e^x} dx$ with $0 \lt a \lt 1$.
29383
Computing $\int_{-\infty}^{\infty} \frac{\cos x}{x^{2} + a^{2}}dx$ using residue calculus
75267
integrate the following function: $\int_{0}^{\infty} \frac{\log{x}}{x^{2}+a^{2}} \ dx$
102636
Contour Integral: $\int^{\infty}_{0}(1+z^n)^{-1}dz$
41738
Best way to integrate $ \int_0^\infty \frac{e^{-at} - e^{-bt}}{t} \text{d}t $
139784
Computing integration $\int_0^1\frac{\ln x}{1-x}d x$
67186
Complex analysis integration question
84884
Need help with the integral $\int_{0}^\infty e^{-x^{2}}x^{2n+1}dx $
51284
$\int_{-\infty}^\infty \frac{e^{ax}}{1+e^x}dx$ with residue calculus
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
109121
How to find integral of $\int_0^\infty \frac{\ln ^2z} {1+z^2}\mathrm{d}z$?
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
152339
Complex-valued Fourier integral: $ \int_{ - \infty }^{ + \infty } {\frac{{\cos (ax)}}{{{x^2} + 1}}{e^{ - ibx}}\,\mathrm dx} $
1366
Complex Analysis: Complex Integral
85618
Integral of $\frac{x^\alpha}{(1 + x^2)^2}$ from 0 to $\infty$ using contour integration for $-1 < \alpha <3$
100569
Evaluating the improper integral $\int_{0}^{\infty} \frac{x^3}{e^{x}-1} dx$
84034
Evaluate $\int_{-\infty}^{\infty} \chi_{[0,1]}(x-y) \chi_{[0,1]}(y) \, \mathrm{d}y$