Page 49 - Calculus with Complex Numbers
P. 49
dz 2>
- = i dt = ln'i .
y Z 0
Example 2 Hvaluate
Z
2 Jc
,
/
where y is the unit square y = n + yz + p + y4 as in Figure 4.5.
2 1 1
z Jc = tl dt = -
.
p'1 o 3
On y4 W e have z = it where 1 k: t k: 0. Therefore dz = idt which gives
Hence we have
j
2
jy z 2 J c = jy + j + Js + ( = l + ( - 1 + .. i j + ( j.- j j + jl j . () .
y
2
