1. The problem statement, all variables and given/known data By applying Cauchy's theorem to a suitable contour, prove that the integral of cos(ax2) = (pi/8a)1/2 2. Relevant equations Cauchy's integral formula: http://en.wikipedia.org/wiki/Cauchy's_integral_formula 3. The attempt at a solution I'm not sure where to go after what I've got scanned. I've tried a few other things, but I can't seem to get anywhere that looks like something I could solve.