Unformatted text preview: Z γ sin zdz =cos π(cos i ) = 1 + 1 2 ( e1 + e 1 ) = 1 + 1 2 e + e 2 Sec 2.3 p. 14 Theorem 4 is the Cauchy’s Formula. Let γ be a circle of radius r > centered at z . Parameterizing it by γ ( t ) = re it for ≤ t < 2 π yields f ( z ) = 1 2 πi Z γ f ( ξ ) ξz dξ = 1 2 πi Z 2 π f ( z + re it ) re it re it i dt = 1 2 π Z 2 π f ( z + re i t ) dt which is what we wanted to prove....
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 Spring '09
 Quadratic equation, Konrad Zuse, Z1, 2 sec, 3 3 Sec, 7 Sec

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