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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.

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# Integrating over double poles

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