Integration of $\int_0^\infty\frac{\sin^2x}{x^2}dx$
10036
Proof of $\int_0^\infty \left(\frac{\sin x}{x}\right)^2 \mathrm dx=\frac{\pi}{2}.$
84884
Need help with the integral $\int_{0}^\infty e^{-x^{2}}x^{2n+1}dx $
123899
$\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$
119410
Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
128572
How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
121736
An improper integral : $\int_{0}^\infty {\ln(a^2+x^2)\over{b^2+x^2}}dx$
106812
Find $\int_{0}^{\infty} \frac{\ln(x)}{1+x^2}dx$
130736
Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$
102156
Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
140638
Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
148743
$\int_0^\infty \frac{1}{1+x^ 9} \, dx$
301
Prove: $\int_0^\infty \sin (x^2) \, dx$ converges.
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
18672
Integrate $\int_{0}^{\pi}{\frac{x\cos{x}}{1+\sin^{2}{x}}dx}$