Re: Complex line integral

Try this: if you decompose into its real and imaginary part, then what are the sum

and the difference

equal to?

Re: Complex line integral

I think i see, is i that the countour integral of the real part plus the contour integral of the imag part = contour integral of z, and the difference of them = contour integral of conjugate of z ?

Re: Complex line integral

Up to a factor, yes. Just write the integrand as and use the fact that the integral is a linear operator, in the sense that

and