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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: 2 complex analysis problem

**Physics Forums | Science Articles, Homework Help, Discussion**