Hi,(adsbygoogle = window.adsbygoogle || []).push({});

Can someone tell me how to integrate functions which have a branch point and a pole (of order > 1) on the x-axis.

Specifically, I ran into the following problem while playing around with contour integrals, which has a double pole at x = -2 . I tried to do this with a keyhole contour, but that doesnt work out, as the integrals over the horizontal lines cancel out.

[tex] \int^{\inf}_0 \frac{ln(x)}{(x+2)^2}\, dx [/tex]

Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Integrating over double poles

**Physics Forums | Science Articles, Homework Help, Discussion**