Question 13 Evaluate S A B 3x5 3x4+6x³ 3x² - 6x x² - 2x 2 - 4x 2 x² - 4x 2 -dx. using method of partial fractions. 2²- ] + C +C 1/2 ] + C (x-1) 1/6(x+2) 16/3 + In (x+1) 1/2 (x-1) 1/6(x+2) 16/3- (x+1) 1/2 (x-1) 1/6(x+2) 16/3 x+1 + In

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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Question 13
Evaluate
·S=
(Α
B
3x5
3x4+6x³3x² - 6x
-dx, using method of partial fractions.
2²- ] + C
x² - 2x
(x-1) 1/6(x+2) 16/3
(x+1) 1/2
2
x² - 4x
+ In
(x-1) 1/6(x+2) 16/3
(x+1) 1/2
0²²]+
2
x² - 4x
-In[ (x − 1) 1/6(x + 2) 16/3-
2) 10/23 ] +
+
C
2
x+1
- ] + 0
x²-2x-In
(x-1) 1/6(x+2) 16/3-
(x+1) 1/2
+C
+ In
+C
Transcribed Image Text:Question 13 Evaluate ·S= (Α B 3x5 3x4+6x³3x² - 6x -dx, using method of partial fractions. 2²- ] + C x² - 2x (x-1) 1/6(x+2) 16/3 (x+1) 1/2 2 x² - 4x + In (x-1) 1/6(x+2) 16/3 (x+1) 1/2 0²²]+ 2 x² - 4x -In[ (x − 1) 1/6(x + 2) 16/3- 2) 10/23 ] + + C 2 x+1 - ] + 0 x²-2x-In (x-1) 1/6(x+2) 16/3- (x+1) 1/2 +C + In +C
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