New posts in Contour Integration

An integral of rational function with third power of cosine hyperbolic function

Integrating around a dog bone contour

Improper integral of $\frac{\log\left(\sqrt{x^2+a^2}\right)}{x^2+b^2}$

Proving $\int_0^1 \frac{(\ln(x))^5}{1+x} \mathrm{d}x = -\frac{31\pi^6}{252}$

Asymptotic evaluation of $\int_0^{\pi/4}\cos(x t^2)\tan^2(t)dt$

Prove that $\int_{-\infty}^\infty \frac {\sin t \tau}{e^{t/2}-e^{-t/2}}\,dt = \pi \tanh \pi \tau$

Integrate the following: $\int \frac {\log x}{\sqrt {1-x^2}}\,dx$

$\int_{-\infty}^\infty \frac{\sin (t) \, dt}{t^4+1}$ must be zero and it isn't

How do I prove $\int_{-\infty}^{\infty}{\cos(x+a)\over (x+b)^2+1}dx={\pi\over e}{\cos(a-b)}$?

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