Answer to Question #235094 in Chemical Engineering for Loki

Question #235094

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


1
Expert's answer
2021-09-12T00:31:37-0400

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:





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