Evaluate where and C is any positively oriented simple closed curve enclosing the origin.
A) 0

Name: Evaluate where and C is any positively oriented simple closed curve enclosing the origin. A) 0
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Question

Evaluate  where  and C is any positively oriented simple closed curve enclosing the origin.
A) 0

Quizplus · Accepted Answer

Since the closed curve C encloses the origin, we can apply Cauchy's Integral Theorem to conclude that the integral is equal to 0. This theorem states that if f(z) is analytic in and on a simply connected region R and C is any closed curve in R, then the integral of f(z) around C is equal to 0.

Evaluate Where and C Is Any Positively Oriented