Compute ∫C (z+i)/(z3+2z2) dz
C is the positively orientated circle |z+2-i|=2
The Attempt at a Solution
I managed to solve a similar problem where the circle was simply |z|=1, with the centre at the origin converting it to z=eiθ with 0≤θ2∏. I'm not sure how to go forward with the centre in another position.
If I want to parametise the equation for z for the circle, then I get two different equations for z because of the possibilty that it could be + or - because of the absolute value.
I haven't gotten very far - could anyone help start me off on this!