$\int_{-\infty}^\infty \frac{e^{ax}}{1+e^x}dx$ with residue calculus
29546
Residue integral: $\int_{- \infty}^{+ \infty} \frac{e^{ax}}{1+e^x} dx$ with $0 \lt a \lt 1$.
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
45622
Value of this definite integral $\int_{0}^{\infty} \frac{ \ln(x)}{x^2+2x+4} dx $
68421
Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.
140638
Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
129892
show $\int_0^{\infty} \frac{x\sin ax}{x^2+t^2}dx = \frac{\pi}{2}e^{-at}$
112868
calculate an integration by using residue theorem
5537
Closed form for $ \int_0^\infty {\frac{{{x^n}}}{{1 + {x^m}}}dx }$
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
66087
Calculus of residue of function around poles of fractional order (complex analysis)
24716
$\int_0^\infty\frac{\log x dx}{x^2-1}$ with a hint.
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
33005
How to evaluate $\int_{0}^{+\infty}\exp(-ax^2-\frac b{x^2})\,dx$ for $a,b>0$
57224
Compute $\int_0^\infty \frac{dx}{1+x^3}$
21390
How to integrate $\int_0^{\infty} \frac{e^{ax} - e^{bx}}{(1 + e^{ax})(1+ e^{bx})}dx$ where $a,b > 0$.
109385
Evaluating the integral $\int_{-\ln 2}^{\ln 2} e^{-x}(\sin x+x)^{1/3}dx$