all circles positively oriented. Use Cauchy's Integration Formulas to compute each of the following integrals. HINT: use partial fractions where appropriate.

a)

b)

c) , t>0

The Cauchy integral formula :

NOW FOR c) in the denominator -1 is interior to C so i go as follows,

so n=2 in the extension of Cauchy's integral formula given as

so i let f(z) = then f'(z) = and f ''(z) =

hence f '' (-1) = and then by the extended Cauchy integral formula i get

, is this correct ?

OK, things i don't know :

Now in a) neither 3 nor -1 are interior to C so neither of them are my Zo point. The same goes for b) in the denominator neither 0 nor 1 are interior to C, so where do i find Zo ? Now if the answer is to use partial fraction decomposition, my attempt :

for a)

and now what ? How do i equate anything??? I have the same confusion for b). I aprreciate any help.