# Thread: help with complex line integrals

1. ## help with complex line integrals

Hello, I would appreciate if someone could help me understand the questions below

For the given function "f" and contours C, use parametric representation for C to find $\int_{C}f$

$f(z) = \bar{z}$, $C :$ straight line segment from 0 to 1 and 1 to 1 + i

2. ## Re: help with complex line integrals

Originally Posted by flaming
Hello, I would appreciate if someone could help me understand the questions below
For the given function "f" and contours C, use parametric representation for C to find $\int_{C}f$
$f(z) = \bar{z}$, $C :$ straight line segment from 0 to 1 and 1 to 1 + i
Your contour has two parts: $C_1: x(t)=t~\&~y(t)=0$ then $C_2 : x(t)=1~\&~y(t)=t$ where $0\le t\le 1$

Your intergrand if $\overline{z}=x(t)-iy(t)$ and $dz=x'(t)dt+iy'(t)dt$