Find the antiderivative of: xn+1 [(n + 1) In x – 1] if n+ -1 x" In x dx = (n + 1)² 1 (In x)² + C 2 if n = -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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Find the antiderivative of:
xn+1
| x" In x dx =
(n + 1)2 L(n + 1) In x – 1] if n# -1
1
(In x)? + C
if n = -1
Transcribed Image Text:Find the antiderivative of: xn+1 | x" In x dx = (n + 1)2 L(n + 1) In x – 1] if n# -1 1 (In x)? + C if n = -1
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