# Why is it that this integral equals zero as the limits go to infinity?

1. Nov 16, 2009

### jack5322

x^s/s integrated on the semicircular contour with radius R and center c>0, where x>1, s is the complex variable, and R is meant to go to infinity. please help.

2. Nov 16, 2009

### fourier jr

do you mean Im(c)>0 ? usually this example is supposed to illustrate the need to indent the contour to get around singularities on the real axis

Last edited: Nov 16, 2009