How to calculate $I=\int_0^{\infty} \frac{dx}{x^4+a^4}$
21240
Prove $\int_0^{\infty}\! \frac{\mathbb{d}x}{1+x^n}=\frac{\pi}{n \sin\frac{\pi}{n}}$ using real analysis techniques only
77721
Is it possible to compute $\int_1^{+ \infty} \frac{dx}{x^2(1+e^x)}$?
19631
Finding $\lim_{n\to \infty}\sqrt n \int_0^1 \frac{\,dx}{(1+x^2)^n}$
5537
Closed form for $ \int_0^\infty {\frac{{{x^n}}}{{1 + {x^m}}}dx }$
70013
How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
63016
Integration of $\int\frac{1}{x^{4}+1}\mathrm dx$
132000
Calculate $\int_0^\infty\frac{\sin x}xdx$ by integration of a suitable function along given paths
62109
$\int_{-\infty}^{\infty} \frac{\cos(αx)}{(x^2+1)(x^2+4)} \mathrm dx$ using Complex methods
177
How can I calculate $\int^{\infty}_{-\infty}\Phi\left(\frac{w-a}{b}\right)\phi(w)\,\mathrm dw$
34967
Compute $ \int_{0}^{ \infty }\frac{\ln xdx}{x^{2}+ax+b}$
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
137549
Given $\int_0^{\infty}e^{-x^2}dx = \frac{\sqrt{\pi}}{2}$, evaluate $\int_0^{\infty}e^{-a^2x^2-\frac{b^2}{x^2}}dx $
31964
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
65337
Compute $\int_{0}^{\infty}\frac{x\sin 2x}{9+x^{2}} \, dx$
109416
How to calculate $\int_0^1 \frac{\ln(1-x)}{x} dx$?
110922
What are different ways to compute $\int_{0}^{+\infty}\frac{\cos x}{a^2+x^2}dx$?
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$