3. Employ Cauchy's residue theorem to evaluate f(x) dx: (a) f(z) = (b) f(z) = (c) f(z) = (d) f(z) = (e) f(z) = +² (x² + 16)2 X (x² + 9)² x + 2 (x2 + 4) (x2 +9) 3x²+2 (x² + 4)(x² +9) +² x4 +4 88
3. Employ Cauchy's residue theorem to evaluate f(x) dx: (a) f(z) = (b) f(z) = (c) f(z) = (d) f(z) = (e) f(z) = +² (x² + 16)2 X (x² + 9)² x + 2 (x2 + 4) (x2 +9) 3x²+2 (x² + 4)(x² +9) +² x4 +4 88
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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Transcribed Image Text:3. Employ Cauchy's residue theorem to evaluate
(a) f(z) =
(b) f(z) =
(c) f(z) =
(d) f(z) =
(e) f(z)
+²
(x² + 16)²
x
(x² + 9)²
x + 2
(x² + 4)(x² +9)
3x²+2
(x²+4)(x² +9)
+²
x4+4
18
f(x) dx:
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