I have 2 questions regarding complex analysis:

1) Let f be analytic inside and on a closed contour gamma. Show that

the integral of [f'(z)/(z-w)] dz = the integral of [f(z)/(z-w)^2] dz

for all w not on Gamma.

2) Explain why f(z) = e^z^2 has an antiderivative in the whole plane.