Complex Integral

[pinkpanther]

Hi,

I'm stuck with coplex Integral problem of |z|^2 and z
the third one I find it the easiest, so I use Cauchy Integral Theorem.

I'm not so familiar with the first two problems. Should I use parametrisation?

 

[GeneralSynopsis]

For parts (a) and (b) you split the integral into two parts, the line segment from \(0+2\bf{i} \) to \( 0-2\bf{i} \) and the semi-circular path (to the right of the imaginary axis) from \( 0-2\bf{i} \) to \(0+2\bf{i} \). This should result in two ordinary integrals.