Does the $\int_{-\infty}^\infty e^{{-x}^2} \, dx$ integral converge?
97039
Use integral test to show that Gaussian Integral $\int_{-\infty}^{\infty} e^{-x^2} \ dx$ converges?
69808
For which values of $\alpha$ and $\beta$ does the integral $\int\limits_2^{\infty}\frac{dx}{x^{\alpha}\ln^{\beta}x}$ converge?
105494
Gaussian-like integral : $\int_0^{\infty} e^{-x^2} \cos( a x) \ \mathrm{d}x$
100569
Evaluating the improper integral $\int_{0}^{\infty} \frac{x^3}{e^{x}-1} dx$
79633
Calculating the integral $\int_{-\infty}^{\infty} x\sin(x)/(x^2+1)^2 dx$
98710
Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
91196
Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$
10806
Find the value of $\int_{-\infty}^\infty \int_{-\infty}^\infty e^{-(x^2+xy+y^2)} \, dx\,dy$
301
Prove: $\int_0^\infty \sin (x^2) \, dx$ converges.
24056
Convergence of the improper integral $\int_{0}^{\pi/2}\tan^{p}(x) \; dx$
110394
For which values this integral converge?
134866
Does the integral $\int_{1}^{\infty} \sin(x\log x) \,\mathrm{d}x$ converge?
39797
Convergence of integrals in $L^p$
143240
Convergence of Riemann sums for improper integrals
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
8705
Evaluation of $\sum_{x=0}^\infty e^{-x^2}$
117264
Prove that $\int_0^{\infty} \frac{\sin x}{x^p}\, dx$ converges for $0<p<2$