Calculate $\int_0^\infty {\sin x ~dx\over x(x^2+1)}$
126046
solving the integral $ \int_0^\infty \dfrac{\sin xt}{x(x^2+1)} dx $
31964
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
4693
what is the$ \int \sin (x^2) \, dx$?
24182
Evaluating $\int_{0}^{\infty}\frac{\sin^{2n+1}x}{x}\mathrm{d}x$
128572
How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?
101587
Calculating $\int_{- \infty}^{\infty} \frac{\sin x \,dx}{x+i} $
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
72036
Closed form of $\int_0^\infty \sin(x)\sin\left(\frac{1}{x}\right)dx$?
158279
$\int_0^{\pi/2}\ln(\sin(x))$?
12604
Evaluate $\int_0^\pi xf(\sin x)dx$
84884
Need help with the integral $\int_{0}^\infty e^{-x^{2}}x^{2n+1}dx $
67263
Compute integral $\int_{-\infty}^\infty \frac{x^4}{1+x^8} \, dx$
1150
Indefinite Integral of $\sqrt{\sin x}$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.