upper bound of contour integral

May 02, 2011 18:40

I am asked to show that |∫ Ce z - z dz| ≤ 60
where C is the positively oriented triangle whose vertices are 0, 3i, -4.

I know that I need to find an upper bound M for e z - z
and that the upper bound for the integral will then be 12M since 12 is the length of C. I am completely lost on how to find M.
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