# Integration

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Please see file attached...

(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.

https://brainmass.com/math/integrals/explaining-complex-integration-216290

#### 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 ...

#### Solution Summary

The solution explains why a given integral cannot be evaluated using Cauchy's formula and how to evaluate the integral.

$2.49