Page 95 - Calculus with Complex Numbers
P. 95
Simple pole with residue - 1/2.
8 .
4 Integrals
2n.
jej, tyj x my
J
(i) J Re z dz = j (cos t) .
'
p
(i) Ic'.f I = cRe : s c2 for c e y . Length of y is 2:7r .
(ii) Isin zl s sinh 1, I z + i Ik: V' for z eEy . Length of y is n'.
1
(iii) Iz - 21:é 10, Iz - 31k: 2 for z eE y . Length of y is 8.
(i) Singularity at 1. Residue 2.
(ii) Singularities at Ljzn'i . Residues EEFE 1/2zrï .
(iii) Singularities at 2,4. Residues EEFE1/2.
