T/2 dx L a+ sin? x' ļal > 1,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Evaluate the following integrals by the method of residues:
T/2
dx
(2) ."
x2 dx
(b) . 4 + 5x² + 6'
|a! > 1,
a + sin? x'
O x4 + 5x? + 6'
x2
x + 2
x² dx
dx,
(c) 24+ 10x? + 9
(d) ,
O(x2 + a?)3"
a real,
x sin x
(f) J. ? + a²
O x2 + a?
Cos x
(e) J, 2 + a²
dx, a real,
dx, a real,
(g) ,
dx,
x2
(h) . (1 + x?)-1 log x dx,
1 +
Transcribed Image Text:3. Evaluate the following integrals by the method of residues: T/2 dx (2) ." x2 dx (b) . 4 + 5x² + 6' |a! > 1, a + sin? x' O x4 + 5x? + 6' x2 x + 2 x² dx dx, (c) 24+ 10x? + 9 (d) , O(x2 + a?)3" a real, x sin x (f) J. ? + a² O x2 + a? Cos x (e) J, 2 + a² dx, a real, dx, a real, (g) , dx, x2 (h) . (1 + x?)-1 log x dx, 1 +
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