1.Evaluate ∫(adsbygoogle = window.adsbygoogle || []).push({}); _{C}Im(z − i)dz, where C is the contour consisting of the circular arc along |z| = 1 from z = 1 to z = i and the line segment from z = i to z = −1.

2. Suppose that C is the circle |z| = 4 traversed once. Show that

§_{C (}e^{z}/(z+1)) dz ≤ 8∏e^{4}/3

For question 1, should i let z= x+yi to solve the question?

and it said the Im part so i just need to consider the "yi"?

i tried but really have no idea on these 2 questions..

Please help

Thanks

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# 2 complex analysis problem

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