Question

Compute The Integral ∫Czˉdz Where C Is The Line Segment From 0 To 1+i.

Answer 1

To compute the integral of ∫Czˉdz where C is the line segment from 0 to 1+i, you can parameterize the line segment and substitute it into the integral.

Step-by-step explanation:

To solve the integral of ∫Czˉdz where C is the line segment from 0 to 1+i, we can break it down into two parts.

1. First, we need to parameterize the line segment. Let z = t(1+i), where t ranges from 0 to 1. Then dz = (1+i)dt.
2. Substitute the parameterization into the integral to get ∫Czˉdz = ∫(t(1+i))ˉ((1+i)dt).
3. Simplify the integral and evaluate it from t = 0 to t = 1 to get the final solution.