# Complex integration

1. Jun 4, 2012

### hedipaldi

1. The problem statement, all variables and given/known data

use residue theorem to integrate sinh(ax)/sinh(xpi) from -infinity to +infinity, a is between -pi and pi

2. Relevant equations

residue theorem

3
. The attempt at a solution

i tried rectangular trajection through 0 and ia/pi with the function sinh(az)/sinh(zpi) and some other trajectories but it doesn't really work

2. Jun 4, 2012

### HallsofIvy

Staff Emeritus
The residue theorem applies to integration over closed paths. What closed paths have you used?