7. For the real improper integral J- (a²+1)(a²+9)1dx , which of the following is/are true ?[Remember that here P.V. means "Cauchy principal value"]the given integrand is an even function|the existence of the P.V. implies that the original integral will convergez = i and z = 3i are pole of order 2|P.V. of J- (z²+1)(z²+9)Tee1 da =12

7. For the real improper integral J-∞ (?+1)(z²+9) 1 dx , which of the following is/are true ? Remember that here P.V. means "Cauchy principal value"] Othe given integrand is an even function the existence of the P.V. implies that the original integral will converge z = i and z = 3i are pole of order 2 OP.V. of De+9) da = 2

7. For the real improper integral J-∞ (?+1)(z²+9) 1 dx , which of the following is/are true ? Remember that here P.V. means "Cauchy principal value"] Othe given integrand is an even function the existence of the P.V. implies that the original integral will converge z = i and z = 3i are pole of order 2 OP.V. of De+9) da = 2

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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A: Answer

Question

7. For the real improper integral J- (a²+1)(a²+9)
1
dx , which of the following is/are true ?
[Remember that here P.V. means "Cauchy principal value"]
the given integrand is an even function
|the existence of the P.V. implies that the original integral will converge
z = i and z = 3i are pole of order 2
|P.V. of J- (z²+1)(z²+9)
Tee1 da =
12

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