New posts in Improper Integrals

Integral $\int_{-\infty}^\infty \frac{\exp{(-x^2)}}{1+x^4}dx$

Integral of sequence of functions

The Calculation of an improper integral

Improper integral of $\int_0^\infty \frac{dx}{(x^2+{\pi}^2)\cosh(x)}$

Convergence of related improper integrals

For $\alpha>0$, evaluate $\int^{+\infty}_0xe^{-x}\cos x\cos(x^2/\alpha)\,dx$

Identity about integral of logarithm

Prove that $\exists c>0$ s.t $\sum_{n\geq x}\frac{1}{n^2}\leq \frac{c}{x}$

How to evaluate integral: $ \int_{0}^{\infty} e^{-x}\left|\sin{x}\right| \ dx $

Evaluating the following integral: $\int_{0}^{\infty }\frac{x\cos(ax)}{e^{bx}-1}\ dx$