Answer to Question #235094 in Chemical Engineering for Loki

Question

10)Using Residue theorem evaluate ∮c Z cosh πz/Z^(4)+5Z^(2)+4, where C is |z| = 3.

Answer 1

To compute this, we can have the function :

This is on the contour:

We let f(z) = cos(z)/(z ² + 8). f(z)

Therefore, analytic on and inside the curve C. This is to say is, the roots of z² + 8 are outside the curve. The integral re-written becomes: