2x4 +3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x)? - B + E |dx x+1' (x+1)², D + х-5 (х-5)2 C(2x – 4) + D E(2x - 4) +F dx A B + x2 x² – 4x + 5 (x² – 4x +5)² ) B C D E |dx (x + 1)² , х-5 (х-5)2 В12х-4) + с , D(2x-4) + E x2 x+1 A + x2 – 4x + 5 |dx (x² – 4x + 5)²,

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 62E: Match the rational expression on the left with the correct partial fraction decomposition form on...
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Question
S 2x4+3x2 – 1
(x³ – 4x² + 5x)?
Rewrite
dx as integral of sum of partial fractions.
A
C
D
E
|dx
(x+ 1)2
E(2x- 4) + F
dx
(x² – 4x + 5)²
X-5
(x– 5)?
X+1
B
C(2x – 4) + D
+
A
x2
x² – 4x +5
A
B
+
x2
C
E
F
dx
х - 5
(x – 5)2
x+1
(x+ 1)²
В(2х — 4) + С
D(2x - 4) + E
+
dx
x? –
- 4x +5
(x² – 4x +5)²,
Transcribed Image Text:S 2x4+3x2 – 1 (x³ – 4x² + 5x)? Rewrite dx as integral of sum of partial fractions. A C D E |dx (x+ 1)2 E(2x- 4) + F dx (x² – 4x + 5)² X-5 (x– 5)? X+1 B C(2x – 4) + D + A x2 x² – 4x +5 A B + x2 C E F dx х - 5 (x – 5)2 x+1 (x+ 1)² В(2х — 4) + С D(2x - 4) + E + dx x? – - 4x +5 (x² – 4x +5)²,
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