Question

3. Evaluate each of the following contour integrals with the Residue Theorem. (a) \( \int_{|z|=4} \frac{z+1}{z(z-2)} dz \) (b) \( \int_{|z|=2} \frac{dz}{z^3(z+4)} \) (c) \( \int_{|z|=4} \frac{dz}{z \sin z} \) (d) \( \int_{|z|=3} (z-1)e^{3(z-1)^{-2}} dz \)

          3. Evaluate each of the following contour integrals with the Residue Theorem.
(a) \( \int_{|z|=4} \frac{z+1}{z(z-2)} dz \)
(b) \( \int_{|z|=2} \frac{dz}{z^3(z+4)} \)
(c) \( \int_{|z|=4} \frac{dz}{z \sin z} \)
(d) \( \int_{|z|=3} (z-1)e^{3(z-1)^{-2}} dz \)

3. Evaluate each of the following contour integrals with the Residue Theorem.
(a) ∫|z|=4(z+1)/(z(z-2)) dz
(b) ∫|z|=2(dz)/(z^3(z+4))
(c) ∫|z|=4(dz)/(z sin z)
(d) ∫|z|=3 (z-1)e^3(z-1)^-2 dz

Added by Mark M.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Evaluate each of the following contour integrals with the Residue Theorem: (a) âˆ®(z+1)/(z^2+4z-2) dz (b) âˆ®(1)/(23z+4) dz (c) âˆ®(4zsin^2(z-1))/(e^3-1-d) dz