Consider the following theorem.Fundamental Theorem for Contour IntegralsSuppose that a function is continuous on a domain D and F is an antiderivative of fin D. Then for any contour C in D with initial point zo and terminal point z₁,0+i[1(2).Use the theorem to evaluate the given integral.(In the integral, z¹/2 is the principal branch of the square root function. Write the answer in the form a + ib.f(z) dz = F(z₂) - F(zo).9√/24942¹/2dz, C is the arc of the circle z = 4et, .- 2st 2012

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Consider the following theorem. Fundamental Theorem for Contour Integrals Suppose that a function is continuous on a domain D and F is an antiderivative of fin D. Then for any contour C in D with initial point zo and terminal point z₁, [1(2). 0+i f(z) dz = F(z₂) - F(zo). Use the theorem to evaluate the given integral. 9 Jc 424/2 dz, C is the arc of the circle z = 4et, . In the integral, z¹/2 is the principal branch of the square root function. Write the answer in the form a + ib. 9√/2 4 - 2st 2012