Integration
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(z,r) is a circular contour of radius r>0 centred at z
Explain why.
cannot be evaluated by applying Cauchy's integral formula with
, when = 1. Hence evaluate the integral.
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Solution Summary
The solution explains why a given integral cannot be evaluated using Cauchy's formula and how to evaluate the integral.
Solution Preview
Observe that the function f(x, y) = (x, 0) is differentiable as a real-valued function,
but not differentiable when viewed as a complex function, i.e. f(z) = Re(z)
is not analytic (as neither is the ...
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