, where C is the curve defined by
is a complex number x+iy, is his complex conjugate
Thanks
I think that there is a problem with your curve.
first I will use for complex conjugation
recall that
so we can factor the left hand side as follows
Now for the right hand side we get
This gives the curve as
If you expand out the integrand in a similar fashion you will get
remember that
So this gives the real line integral
but the curve of integration (the parabola) is unbounded so the integral will be as well.