Complex analysis, Cauchy's integral theorem

Use cauchy's integral formula to evaluate

over the curve,

Okay, so i used the method shown in lectures,

Since the only singularity inside C is for z=0,

we let ,

hence, by cauchy's formula, z=0

But the answer says -32/pi*(1+pi/4)i

Just starting this topic, so still trying to wrap my head around it.

Thanks in advanced

Re: Complex analysis, Cauchy's integral theorem

Quote:

Originally Posted by

**olski1** Since the only singularity inside C is for z=0, we let ,

hence, by cauchy's formula, z=0

It should be , not .