Find $\int _{-\infty}^{\infty}\frac{1}{x^{12} + 1} dx$ elementarily
5537
Closed form for $ \int_0^\infty {\frac{{{x^n}}}{{1 + {x^m}}}dx }$
21375
The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$
133160
Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$
4225
How to calculate $\int\limits_{-\infty}^\infty\frac{e^{ix}}{x}dx$
9730
Solve the integral $\int_0^\infty x/(x^3+1) dx$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
122843
Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
104904
Calculating $\int_0^\infty \frac {\sin^2x}{x^2}dx$ using the Residue Theorem.
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
68319
How can I evaluate $\int_{-\infty}^{\infty} e^{-x^2} dx$ without using polar coordinates
29546
Residue integral: $\int_{- \infty}^{+ \infty} \frac{e^{ax}}{1+e^x} dx$ with $0 \lt a \lt 1$.
10806
Find the value of $\int_{-\infty}^\infty \int_{-\infty}^\infty e^{-(x^2+xy+y^2)} \, dx\,dy$
45622
Value of this definite integral $\int_{0}^{\infty} \frac{ \ln(x)}{x^2+2x+4} dx $
144273
Find $\lim_{n\to\infty} \frac{1}{n} \int_0^\infty f(x) e^{-a_n x} dx$
85081
$\int_{0}^{\infty} \frac{\cos x - e^{-x}}{x} \mathrm dx$ Evaluate Integral
79633
Calculating the integral $\int_{-\infty}^{\infty} x\sin(x)/(x^2+1)^2 dx$