(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the contour integral of Log(z). The contour is defined as: x^2 + 4y^2 = 4, x>= 0, y>=0

2. Relevant equations

3. The attempt at a solution

parametrize the contour as z(t) = 2cos(t) + isin(t)

0 <= t <= pi/2

The contour integral = ∫Log(z(t))z'(t)dt

I am having trouble finding Log(z(t)).

Log(z(t)) = ln|z(t)| + iArg(z(t))

Would ln|z(t)| = ln|sqrt(1 + 3cos(t)^2)| and Arg(z(t)) = t?

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# Homework Help: Contour integral of Log(z)

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