Σ(-1)", n=1 2n 2n + 1 (3) 2 2n+1
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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Transcribed Image Text:Question 3.
Evaluate
1
(ax2 + b)n
/
Σ
n=1
-dx =
2n
2n +1
Hint 1: Start with = 0, <1, and then manipulate it.
Hint 2: You may use the following formula without proof. For positive integers a and b,
and n ≥ 2,
(-1)"a
2n+1
3
2b(n = 1) / (ax² +b)n-1d
-dx +
2b(n-1)(ax2 + b)n-1
+ C.
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