New posts in Contour Integration

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

Contour integration with infinite poles

simple properties of branches of complex square root and integrating a function with a branch of square root

Using Cauchy's integral formula to solve $\int_{|z| = 2} \frac{e^z}{z^2(z-1)}\,dz$

Strange contour integral

Why do so many half-circle perimeters contribute $0$ to the answer in contour integration?

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

Inverse Laplace transform of $\frac{π\cosh(\sqrt s)}{2 s^{3/2} \sinh(\sqrt s)}$ using complex integration

Evaluate $\int _0^{2\pi }\frac{\cos (n\theta) }{a+\cos\theta}\,d\theta$ with $a>1$, $n\in \mathbb{N}-\left\{0\right\}$

Evaluate the definite integral $\int^{\infty }_{0}\frac{x \,dx}{e^{x} -1}$ using contour integration