# Solving $\int\limits_0^\infty\frac{\ln x}{\left(x^2+4\right)^2}\text{d}x$ using residues. [duplicate]

How can you evaluate the following integral using residues? $$\int\limits_0^\infty\frac{\ln x}{\left(x^2+4\right)^2}\text{d}x$$

## marked as duplicate by ThePortakal, tired, Nosrati, Community♦Sep 7 '17 at 17:38

• Replace $\log(x)$ by $\log^2(x)$ and integrate the resulting function around a keyhole contour in complex plane – tired Sep 7 '17 at 17:30