Show that

Where C is the positively oriented boundary of the rectangle whose sides lie along the lines x = ±2, y = 0, and y = 1.
Suggestion: By observing that the four zeros of the polynomial q(z) = (z2 ˆ’ 1)2 + 3 are the square roots of the numbers 1 ±ˆš3i, show that the reciprocal 1/q(z) is analytic inside and on C except at the points

Then apply Theorem 2 in Sec. 76.

Transcribed Image Text:

3+i and -70 = V2