New posts in complex-integration

How to solve this integral using the method of residues?

complex integration $\frac{1-|a|^{2}}{\pi}\int_{L}\frac{|dz|}{{|z+a|}^{2}}$

Complex integral

Computing convolution using only the definition.

Evaluatig: $\int_{0}^{\infty}{e^{ax^2}\cos(bx)dx}$

The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$

Show $|\int f(z)\, dz|\leq4$

$\int_{-\infty}^\infty \frac{e^{ax}}{1+e^x}dx$ with residue calculus [duplicate]

Function holomorphic except for real line and continuous everywhere is entire

What is the geometric intuition for the $\bar \partial$-Poincare lemma, or for $\bar \partial$ more generally?

Evaluating $\int_{0}^{\infty} \frac{4\pi}{16\pi^2 + x^2} \left(\frac{1}{x}+\frac{1}{e^{-x}-1}\right) \, dx$

Contour integral $\oint_{|z|=1}\frac{z^2\sin(1/z)}{z-2}dz$

Complex integrals

Integrating squared absolute value of a complex sequence

Analytic function and the Lagrange interpolating polynomial

Calculating the contour integral: $\int_{|z-z_0|=r}\frac{1}{\bar{z}}dz$

Integration of $\int_0^\infty\frac{1-\cos x}{x^2(x^2+1)}\,dx$ by means of complex analysis

Explicit computation of Mellin transformation and its inverse

Gaussian integral with a shift in the complex plane

Evaluate $\int_0^{\infty} \frac{\log(x)dx}{x^2+a^2}$ using contour integration