6. Evaluate the following real integrals by residue theorem 3 • I = S ans: 2π (a-√a²1) I = J ∞ 27 2 sin O a+coso 27t do, al do Co30+ 2 sing +3 ans #

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. Evaluate the following real integrals by residue
theorem 3
• I = S
ans: 2π (a- Ja²1)
I=S=
∞
20
• I=S
• 1= 5²
88
•S
P
B
∞
271
27t
sino
a + coso
do
Co30+ 2 sing +3
dx
(X²+9²)²
dx
(x²+1)(x² +9)
003 mx
(x²+9²) (x²+b²)
X. Sin mx
X² +1
do, al
.dx
dx
ans
ans :
ans
ans
2
a²b²
-mt√2
493
12
-bm
#
b.
ansatte sin m
193
등)
a
Transcribed Image Text:6. Evaluate the following real integrals by residue theorem 3 • I = S ans: 2π (a- Ja²1) I=S= ∞ 20 • I=S • 1= 5² 88 •S P B ∞ 271 27t sino a + coso do Co30+ 2 sing +3 dx (X²+9²)² dx (x²+1)(x² +9) 003 mx (x²+9²) (x²+b²) X. Sin mx X² +1 do, al .dx dx ans ans : ans ans 2 a²b² -mt√2 493 12 -bm # b. ansatte sin m 193 등) a
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