Assignment:
Evaluate the following integrals:
(a) integral over gamma of (e^z - e^-z)/(z^n) dz, where n is positive integer and gamma(t) = e^(it), 0 =< t =< 2 π
(b) integral over gamma of (dz/(z^2 + 1) ) where gamma(t) = 2e^(it), 0 =< t =< 2π
( Hint: expand (z^2 + 1)^-1 by means of partial fractions