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Evaluate the following ntegrals. In each case say what result (s) you are using and show that the assumptions of the theorem or formula are satisfied. exp(z2) sinh(z) (i) S(-1-i,1/4) dz (24 – 1)(24 + 1) e? (ii) /. zp - 22 +1 S(-i,1) (ii) sin(z) dz. S(0,4) (z + 3)3

Evaluate the following ntegrals. In each case say what result (s) you are using and show that the assumptions of the theorem or formula are satisfied. exp(z2) sinh(z) (i) S(-1-i,1/4) dz (24 – 1)(24 + 1) e? (ii) /. zp - 22 +1 S(-i,1) (ii) sin(z) dz. S(0,4) (z + 3)3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Evaluate the following mtegrals. In each case say what result (s) you are using and show that the assumptions of the theorem or formula are satisfied. exp(22) sinh(2) (i) S(-1-i,1/4) dz (24-1)(24 + 1) (ii) . dz z2 + 1 S(-i,1) (ii) on sin(z) dz. Js(0,4) (z + 3)3 (iv) Let a, b e C, r > 0 with |a| < r < [b|. Compute 1 dz (z - a)"(z – b)m S(0,r) for any n, m e N. Explain your computation.
Transcribed Image Text:Evaluate the following mtegrals. In each case say what result (s) you are using and show that the assumptions of the theorem or formula are satisfied. exp(22) sinh(2) (i) S(-1-i,1/4) dz (24-1)(24 + 1) (ii) . dz z2 + 1 S(-i,1) (ii) on sin(z) dz. Js(0,4) (z + 3)3 (iv) Let a, b e C, r > 0 with |a| < r < [b|. Compute 1 dz (z - a)"(z – b)m S(0,r) for any n, m e N. Explain your computation.
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