Shouldn't the parametrisation be 2t + i(2t - 1) instead, because yours never attains the point 2+i for t in [0,1]. Otherwise you have the right idea with regards to computing the integral.
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