How do I compute $\int_{-\infty}^{\infty}x^2e^{-x^2}dx$?
44737
$ \int_{-\infty}^{\infty} x^4 e^{-ax^2} dx$
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
105494
Gaussian-like integral : $\int_0^{\infty} e^{-x^2} \cos( a x) \ \mathrm{d}x$
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
157255
Using residue theorem to integrate from $-\infty$ to $\infty$
145590
Compute the integral $\int\frac{dx}{(x^2-x+1)\sqrt{x^2+x+1}}$
15625
Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration
75423
Computing $\int_0^\infty\frac{1}{(1+x^{2015})(1+x^2)}$
21616
Calculate integral $\int_{-1}^{1} (1-x^2)^n dx $
107296
How do I prove $\int_{-\infty}^{\infty}{\cos(x+a)\over (x+b)^2+1}dx={\pi\over e}{\cos(a-b)}$?
124445
Integral of the form $\int_{0}^{\infty}e^{-ax}e^{-x^{4}}dx$
29383
Computing $\int_{-\infty}^{\infty} \frac{\cos x}{x^{2} + a^{2}}dx$ using residue calculus
13978
Calculating the integral $\int_0^\infty \frac{\cos x}{1+x^2}\, \mathrm{d}x$ without using complex analysis
85081
$\int_{0}^{\infty} \frac{\cos x - e^{-x}}{x} \mathrm dx$ Evaluate Integral
110922
What are different ways to compute $\int_{0}^{+\infty}\frac{\cos x}{a^2+x^2}dx$?
77834
Is it possible to compute $\int_{-\infty}^\infty {x \sin x\over x^4+1}dx$ without using complex analysis?