Countour integral of z from 0 to 1+2i

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Homework Statement



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

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!
 
Last edited:
Dick said:
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?
 
Last edited:
doey said:
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.
 

Thread 'Finding the nth roots of a complex number'

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