Where are your poles relative to your contour and the area enclosed by it?
"Apply the Cauchy-Goursat theorem to show that when the contour C is the circle |z| = 1, in either direction, and ."
After using quadratic formula, .
Tried breaking down to partial fractions:
Dead end since we're looking at A+B=0, A+B=1, and -A+B=0. Any suggestions?
You need to show that is holomorphic (Cauchy's integral theorem - Wikipedia, the free encyclopedia)