6. Evaluate the following real integrals by theorem 3 ans: 2π (a- D 80 -27t I = S I = J 277 2 sine a + Coso do, al do Co30+ 2 sing +3 ans #

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Chapter2: Second-order Linear Odes
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6. Evaluate the following real integrals by residue
theorem 3
ans: 2π (a- √a²1)
80
I = S
I = √₂
. I
∞
-=S
• I-
88
•S
X
27t
² sind
∞
s
&
27
a+coso
dx
= (x²+a²)²
d
dx
(x²+1)(x²+9)
do
Co30+ 2 sing +3
C03 mx
(x²+²)(x²+b²)
X. Sin mx
X9 +1
do
.dx
dx
2
a>l
ans
ans ?
ans
ans :
#
493
12
-bm
193
22 ( - )
9²6²
a
-m/√2
ansz te sin m
Transcribed Image Text:6. Evaluate the following real integrals by residue theorem 3 ans: 2π (a- √a²1) 80 I = S I = √₂ . I ∞ -=S • I- 88 •S X 27t ² sind ∞ s & 27 a+coso dx = (x²+a²)² d dx (x²+1)(x²+9) do Co30+ 2 sing +3 C03 mx (x²+²)(x²+b²) X. Sin mx X9 +1 do .dx dx 2 a>l ans ans ? ans ans : # 493 12 -bm 193 22 ( - ) 9²6² a -m/√2 ansz te sin m
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