(Solved): 1. Find 31+i 2. Find i+2isin2zdz 3. Use partial fractions to evaluate z22z15 ...
1. Find 31+i 2. Find ∫iπ+2isin2zdz 3. Use partial fractions to evaluate ∮z2−2z−15z+1dz along C given by a) ∣z∣=4 b) ∣z−i∣=10. (indicate the theorem you are using) 4. Use the residue theory to evaluate ∮z2+1e2zdz along C given by: a) ∣z+i∣=1 b) ∣z−5∣=10