Evaluate the following integral using Cauchy Integral Formula, My attempt
Not analytic at:
This is inside the contour, so we use CIF as follows:
However, the solution is
Where have I gone wrong? Thanks.
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... may be that the reason is that in the function has a pole with multeplicity two... in that case the formula for the residue is different respect to the case of a pole with multeplicity one...
Ahh, I just discovered the generalised CIF equation.
Still not sure how to get the correct solution though, I did:
Not sure where the divide by 9 is coming from. :/
For a pole of order n is... (1)
In our case is... (2)
... so that... (3)
... and for any closed path c containing the point is... (4)
Ahh, I just had to pull the 3 out of the denominator.
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