To evaluate S (In x)2 x3 -dx, apply integration by parts twice. For the second application of integration by parts, what is the appropriate u and dv? In x A U= -; dv= dx X 1 u= dv In x dx X u= ln x; dv= dx 1 x3 = (In x)²; dv= D U= ; 1 1 x3 dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(In x)²
To evaluate
[
-dx, apply integration by parts twice. For the second application of integration by parts, what is the
appropriate u and dv?
In x
1
A
U=
; dv=
X
dx
x²
B
1
U= ; dv In x dx
x3¹
1
u= ln x; dv=
dx
D
= (In x)²; dv=
U=
dx
Transcribed Image Text:(In x)² To evaluate [ -dx, apply integration by parts twice. For the second application of integration by parts, what is the appropriate u and dv? In x 1 A U= ; dv= X dx x² B 1 U= ; dv In x dx x3¹ 1 u= ln x; dv= dx D = (In x)²; dv= U= dx
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