Hint for evaluating complex line integral

30 Views Asked by At

Question:

Evaluate

$$\int_C \frac{\mathrm dz}{z^2 +4}$$

Along the line $x+y=1$ in the direction of increasing $x$.

There is no information about start point and end point.

How do i solve this?

If i want to parameterize this, i need some points for the lower and the upper bound in this integral. That's why i'm confused.

Please give me some hints, i don't need the "whole" answer. Thanks.