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Thread: help with complex line integrals

  1. #1
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    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
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  2. #2
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    Re: help with complex line integrals

    Quote Originally Posted by flaming View Post
    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 $dz=x'(t)dt+iy'(t)dt$
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