Finding the integral $\int_0^\infty\sin(x^n)dx$
53831
Find a general solution for $\int_{0}^{\infty} \sin\left(x^n\right)\:dx$
301
Prove: $\int_0^\infty \sin (x^2) \, dx$ converges.
3068
Evaluating $\int_0^\infty \sin x^2\, dx$ with real methods?
10806
Find the value of $\int_{-\infty}^\infty \int_{-\infty}^\infty e^{-(x^2+xy+y^2)} \, dx\,dy$
123899
$\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$
16053
Generalized Fresnel integral $\int_0^\infty \sin x^p \, {\rm d}x$
70845
Contour method to show that $\int_0^\infty\frac{x-\sin x}{x^3} \, dx=\frac\pi4$
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
9730
Solve the integral $\int_0^\infty x/(x^3+1) dx$
112621
Finding $\int_{0}^{\infty} \frac{e^{3x}-e^x}{x(e^{3x}+1)(e^x+1)} dx$
109785
show that $\int_{0}^{\infty} \frac {\sin^3(x)}{x^3}dx=\frac{3\pi}{8}$
138169
Finding $\lim\limits_{n \to \infty }n\int_{0}^{1}\frac{x^{n}}{1+x+x^{n}}dx$
148613
Integrate $\int_{0}^{1}{x^{-x}(1-x)^{x-1}\sin{\pi x}dx}$
67953
Finding the asymptotic of an integral
54638
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
140574
Find $\lim_{n\to \infty} \int_0^1 nx^n e^{x^2} dx$
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?