Countour integral of z from 0 to 1+2i

[doey]

Homework Statement

evaluate contour integral ∫ Z dz from 0 to 1+21 in the curve of y=2x

 

[Dick]

Homework Statement

evaluate contour integral ∫ Z dz from 0 to 1+21 in the curve of y=2x

So what exactly is your problem here? I can think of two ways to do this. Parametrize the curve or use the complex antiderivative. Both are easy. Do something!

 

[doey]

So what exactly is your problem here? I can think of two ways to do this. Parametrize the curve or use the complex antiderivative. Both are easy. Do something!

ok,i try to solve for integrate z dz= x+iy(dx+idy) and get dy dx from y=2x.and i get the answer for integrate z dz,
how about the answer for integrate complex conjugate of z? since complex conjugate of z is not analytical .can i do it in the same way oso?

 

[Dick]

ok,i try to solve for integrate z dz= x+iy(dx+idy) and get dy dx from y=2x.and i get the answer for integrate z dz,
how about the answer for integrate complex conjugate of z? since complex conjugate of z is not analytical .can i do it in the same way oso?

Yes, you can do it in the same way.