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Question 3 [6] Find the integral $int_Gamma |z|ar{z} dz$ on the closed contour $Gamma$ which consists of the half circle $z = Re^{i heta}$, $0 le heta le pi$, and the straight line segment: $-R le Re(z) le R$, $Im(z) = 0$. The orientation of $Gamma$ is anticlockwise.

          Question 3 [6] Find the integral $int_Gamma |z|ar{z} dz$ on the closed contour $Gamma$ which consists of the half circle $z = Re^{i	heta}$, $0 le 	heta le pi$, and the straight line segment: $-R le Re(z) le R$, $Im(z) = 0$. The orientation of $Gamma$ is anticlockwise.

Question 3 [6] Find the integral intGamma |z|arz dz on the closed contour Gamma which consists of the half circle z = Re^i heta, 0 le heta le pi, and the straight line segment: -R le Re(z) le R, Im(z) = 0. The orientation of Gamma is anticlockwise.

Added by Mark T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/19/2023

Step 1

The equation of the half circle is z=Rei0. Show more…

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Question 3 [6] Find the integral ∫_Γ |z|z̄ dz on the closed contour Γ which consists of the half circle z = Re^iθ, 0 ≤ θ ≤ π, and the straight line segment: -R ≤ Re(z) ≤ R, Im(z) = 0. The orientation of Γ is anticlockwise.