New posts in Improper Integrals

Evaluate an absolute monster integral $\int\limits_{0}^{1} \frac{\log(1-x+x^2)}{\sqrt{x}(1+x)}\mathrm{d}x.$

Show $\int_0^\infty \frac{\tan^{-1}x^2}{1+x^2} dx= \int_0^\infty \frac{\tan^{-1}x^{1/2} }{1+x^2}dx$

prove if f is continuous and $\lim\limits _{x\to\infty}f\left(x\right)=L\neq0$ then $\int\limits _{1}^{\infty}f\left(x\right)\sin x\,dx$ diverges

Calculating the improper integral $\int _{1}^{\infty}\frac{e^{\sin x}\cos x}{x}\,dx$

Why do I get a math error for this when trying to compute $\int_{-1}^1(x^2-\frac{1}{x^2}+3) \, dx$?

Evaluate $\int_0^\infty \frac{(\mathrm{e}^{-ax}-\mathrm{e}^{-bx})^2}{x^2}dx=\ln\frac{(2a)^{2a}(2b)^{2b}}{(a+b)^{2(a+b)}} $

Limit of $\frac{1}{M} \int_1^M M^{\frac{1}{x}} \textrm{d} x$ when $M \to +\infty$

Evaluate $ \int_0^{\infty} \int_0^{\infty} \frac{1}{(1+x)(1+y)(x+y)}\,dy dx$

Asymptotic bound for $\int_0^\infty \int_0^\infty (x+y)^m e^{-\frac{x^2}{2i} - \frac{y^2}{2j}} dx\, dy\;$ for $i$ and $j$ large

Replacing improper integral by sum of integrals