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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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Let v e R and define
1
I, =
(a) For which values of v does the improper integral converge?
(b) Suppose that v > 1. Find a formula for I41 in terms of I. Hint: Integrate by parts.
(c) Evaluate I4.
(1 + x²)vdæ.
Transcribed Image Text:Let v e R and define 1 I, = (a) For which values of v does the improper integral converge? (b) Suppose that v > 1. Find a formula for I41 in terms of I. Hint: Integrate by parts. (c) Evaluate I4. (1 + x²)vdæ.
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