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Starting with the given fact that the type 1 improper integral dx converges to p-1 1 when p>1, use the substitution u=- to determine the values of p for which the type 2 improper integral x S=dx dx converges and determine the value of the integral for those values of p. XP

Starting with the given fact that the type 1 improper integral dx converges to p-1 1 when p>1, use the substitution u=- to determine the values of p for which the type 2 improper integral x S=dx dx converges and determine the value of the integral for those values of p. XP

Advanced Engineering Mathematics
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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Starting with the given fact that the type 1 improper integral dx converges to 1 XP p-1 1 when p>1, use the substitution u = - to determine the values of p for which the type 2 improper integral X S- -dx converges and determine the value of the integral for those values of p. XP
Transcribed Image Text:Starting with the given fact that the type 1 improper integral dx converges to 1 XP p-1 1 when p>1, use the substitution u = - to determine the values of p for which the type 2 improper integral X S- -dx converges and determine the value of the integral for those values of p. XP
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