I'm preparing for an exam and would like someone to check this if possible

where is any path from to

I figured out that was not analytic using cauchy riemann equations

So i parametrized to using the formula

where

Filling into the above formula i got

and

So i said

i proceed to work this out an got an answer of

The answer isn't really that important to me, i just would like to know if the line above my answer is correct

Thanks,

Piglet