2x4 + 3x² – 1 (x² – 4x² +5x)? B(2x- 4) + C Rewrite dx as integral of sum of partial fraction D(2x- 4) + E dx +. x² – 4x + 5 (x² – 4x+ 5)? B C dx (x- 5)? x+1 x+1)² } X-5 F dx (x + 1)² E(2x-4)+F dx (² – 4x+5)* +. (x-5)2 C(2x-4) + D x2 – 4x +5 x² X-5 X+1 A

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CR: Chapter Review
Problem 59E: Decompose into partial fractions. 4x3+3x+x2+2x4+x2
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Question
2x4 + 3x² – 1
Rewrite
dx as integral of sum of partial fractions.
(x3-4x2 +5x)
B(2x- 4) + C
x² – 4x +5
D(2x- 4) + E
(x² -4x+ 5)?
D
x +1 (x+1)²)
A
dx
B
E
dx
X-5
(x- 5)2
B
C
+.
+.
X-5
A
D.
dx
(x + 1)²
E(2x-4) +F
dx
(x² - 4x+5)
x²
(x – 5)²
x+1
C(2x - 4) + D
x2
x2 - 4x +5
Transcribed Image Text:2x4 + 3x² – 1 Rewrite dx as integral of sum of partial fractions. (x3-4x2 +5x) B(2x- 4) + C x² – 4x +5 D(2x- 4) + E (x² -4x+ 5)? D x +1 (x+1)²) A dx B E dx X-5 (x- 5)2 B C +. +. X-5 A D. dx (x + 1)² E(2x-4) +F dx (x² - 4x+5) x² (x – 5)² x+1 C(2x - 4) + D x2 x2 - 4x +5
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