Using Integration By Parts, x Arcsec 3x dx = u v- |v du

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 18E
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Jx Arcsec 3x dx= u v- Jv du-
Using Integration By Parts,
-Sv du-
x² Arcsec 3x - J
Find u v-
1
3
dx
2
x² – 1
O 1
= x2 Arcsec 3x
dx
x² – 1
.2
1
x? Arcsec 3x - ;
dx
/9х2-1
1
- x2 Arcsec 3x - J5
dx
V9x? – 1
Transcribed Image Text:Jx Arcsec 3x dx= u v- Jv du- Using Integration By Parts, -Sv du- x² Arcsec 3x - J Find u v- 1 3 dx 2 x² – 1 O 1 = x2 Arcsec 3x dx x² – 1 .2 1 x? Arcsec 3x - ; dx /9х2-1 1 - x2 Arcsec 3x - J5 dx V9x? – 1
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