how to evaluate this definite integral $\int_0^\infty\frac{\sin^2(x)}{x^2}dx$?
115469
Integral of Sinc Function Squared Over The Real Line
71982
Evaluating this integral $ \small\int \frac {x^2 dx} {(x\sin x+\cos x)^2} $
75562
How to integrate $\int x^2 \sin^2(x)dx$
48233
Evaluating $\int_0^\infty \frac{dx}{1+x^4}$.
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
83703
Show that $\int_{0}^{\infty}|\frac{\sin x}{x}|\,dx=\infty $
119209
Differentiation wrt parameter $\int_0^\infty \sin^2(x)\cdot(x^2(x^2+1))^{-1}dx$
48408
Definite Integral of $\sin(\sin x)$
58646
Are there any ways to evaluate $\int^\infty_0\frac{\sin x}{x}dx$ without using double integral?
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
6014
Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
10319
Definite Integral $\int_{-\infty}^{\infty}\frac{x\sin x}{(x^2+a^2)(x^2+b^2)}\,\mathrm{d}x$
33005
How to evaluate $\int_{0}^{+\infty}\exp(-ax^2-\frac b{x^2})\,dx$ for $a,b>0$
24182
Evaluating $\int_{0}^{\infty}\frac{\sin^{2n+1}x}{x}\mathrm{d}x$
20016
How to integrate $\int_0^{\pi/2}\frac{\sin^nx}{\sin^nx+\cos^nx}dx$?
147759
Integral $ \dfrac { \int_0^{\pi/2} (\sin x)^{\sqrt 2 + 1} dx} { \int_0^{\pi/2} (\sin x)^{\sqrt 2 - 1} dx} $
141892
How to evaluate $\int_0^\infty \frac{1}{x^n+1} dx$