Integral $\int_0^\infty x^ne^{-\frac{x}{a}} dx$
89028
Evaluate the integral $\int e^{-x}x^n dx$
152648
Is the integral $\int_1^\infty\frac{x^{-a} - x^{-b}}{\log(x)}\,dx$ convergent?
33155
Use residues to evaluate $\int_0^\infty \frac{\cosh(ax)}{\cosh(x)}\,\mathrm{d}x$, where $|a|<1$
45622
Value of this definite integral $\int_{0}^{\infty} \frac{ \ln(x)}{x^2+2x+4} dx $
51284
$\int_{-\infty}^\infty \frac{e^{ax}}{1+e^x}dx$ with residue calculus
85618
Integral of $\frac{x^\alpha}{(1 + x^2)^2}$ from 0 to $\infty$ using contour integration for $-1 < \alpha <3$
102932
Integral $\int_0^\infty \frac{\arctan(x) dx}{x(1+x^2)}$?
102636
Contour Integral: $\int^{\infty}_{0}(1+z^n)^{-1}dz$
44737
$ \int_{-\infty}^{\infty} x^4 e^{-ax^2} dx$
85081
$\int_{0}^{\infty} \frac{\cos x - e^{-x}}{x} \mathrm dx$ Evaluate Integral
148092
Use integration by parts to prove $ \int^\infty_0 x^ne^{-x} dx=n!$
124463
Integral from $0$ to $\infty$ of $\ln(x)/e^x$
119410
Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$
21390
How to integrate $\int_0^{\infty} \frac{e^{ax} - e^{bx}}{(1 + e^{ax})(1+ e^{bx})}dx$ where $a,b > 0$.
122843
Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
106087
Finding $\lim_{n \to \infty} \int_1^a \frac{n}{1+x^n} \, dx$
120899
Integration with a constant "a": $ \int_0^a \frac1{\sqrt {a^2-x^2}} dx $