New posts in Improper Integrals

Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

Limit of $\int_0^1 \frac{x^n-x^{2n}}{1-x}\text{d}x$

Does $f'(x)>\frac{f(x)}{x}$ for $x>0$ imply $f$ is convex?

How to find $\lim_{n \to \infty}\int_{0}^{1}\sin^2\left(\frac{1}{ny^2}\right)\,\mathrm{d}y$ if it exists?

Prove a function is constant under certain conditions

How to apply squeeze theorem to this limit.

Evaluation of $\int\limits ^{\infty }_{0}\frac{x}{\left( x^{2} +1\right)^2\left( e^{tx} +1\right)} dx$

Gamma-Distribution-like integral

Finding $\int_{0}^{\infty} \frac{e^{3x}-e^x}{x(e^{3x}+1)(e^x+1)} dx$

Evaluating integrals involving products of exponential and Bessel functions over the interval $(0,\infty)$