New posts in Complex Integration

Is The Inverse Laplace Transform of $e^{st}\operatorname{Log}\left(\frac{s+1}{s}\right)$ doable using inversion formula?

Complex integration over sphere

Proving $\frac1{2\pi} \int_0^{2\pi} \frac{R^2-r^2}{R^2-2Rr\cos\theta+r^2} d\theta =1$ by integrating $\frac{R+z}{z(R-z)}$ without residue theorem.

Easier approach to $\int_0^{\infty} \frac{\mathrm{e}^{-x} \cosh(2x/5)}{1 + \mathrm{e}^{-2x}} \, \mathrm{d}x$?

Proving $\int_0^{\pi} \frac{\log (1+r-2\sqrt{r}\cos(t))}{1+r-2\sqrt{r} \cos(t)}\,dt = \frac{2\pi}{1-r}\log(1-r)$, when $0 < r < 1$.

Gamma-Distribution-like integral

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

On the dependence between $\bar{z}$ and $z$

$2\pi i\beta = \int\limits_{|z|=r} \frac{dz}{f(z)-z}$

Quick way of solving the contour integral $\oint \frac{1}{1+z^5} dz$