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72. (a) Use integration by parts to show that, for any positive integer n, dx (x² + a²)" dx 2a (n - 1)(x² + a²)«-1 2n - 3 dx 2a (n – 1) (x² + a²)«-T (b) Use part (a) to evaluate dx dx and (x² + 1)² (x² + 1)

72. (a) Use integration by parts to show that, for any positive integer n, dx (x² + a²)" dx 2a (n - 1)(x² + a²)«-1 2n - 3 dx 2a (n – 1) (x² + a²)«-T (b) Use part (a) to evaluate dx dx and (x² + 1)² (x² + 1)

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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Question 72! I will thumbs up! Thanks!
low the 72. (a) Use integration by parts to show that, for any positive x*(1- x)* dx 22 ed TT 1 + x2 7 Jo na pro- integer n, ed.) dx dx 2a (n - 1)(x² + a²)•-1 2n - 3 dx + 2a (n – 1) J (x² + a®y«-T (b) Use part (a) to evaluate dx dx and (x² + 1)² (x² + 1)
Transcribed Image Text:low the 72. (a) Use integration by parts to show that, for any positive x*(1- x)* dx 22 ed TT 1 + x2 7 Jo na pro- integer n, ed.) dx dx 2a (n - 1)(x² + a²)•-1 2n - 3 dx + 2a (n – 1) J (x² + a®y«-T (b) Use part (a) to evaluate dx dx and (x² + 1)² (x² + 1)
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