# What contours will allow the integral to equal 0

1. Jul 16, 2013

### dla

1. The problem statement, all variables and given/known data
Determine the contours, C, that will follow Cauchy Integral Theorem so that $\large \oint \frac{exp(\frac{1}{z^{2}})}{z^{2}+16} dz =0$

2. Relevant equations

3. The attempt at a solution
The curve can't include z=±4i and z=0 but how do I come up with a curve that does not include those points? Am I just suppose to look for the domain?

2. Jul 16, 2013

### haruspex

You're certainly OK if it does not include any of those, but maybe by including some combination of them you would still get zero. Not sure whether the question expects you to consider that.