The partial fraction decomposition of A) B) D) 1 X+2 E) 1 C) X+2 1 x+ 2 x² + 2. + 1 X+2 + 1-2x (x² +1) + 1 x+2 x² +1 + X+1 2 x² +1 x +1 + 1² +1 1 + X (x² + 1)² 2 (x² + 1)² 1+X (x² + 1)² 3+x+2x² - 2x³ (x+2)(x² + 1)² is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 60RE
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Question
The partial fraction decomposition of
A)
B)
D)
1
1-2x
+
x+2® (x² +1)³²
1
1
C) x + 2
1
x+2
E)
X
1+X
x+2_x²+1_(x² +1)²
x+1
x² +1
x+1
+
x² +1
1
+
x+ 2 x
+
+
2
(x² + 1)²
1+x
(x² + 1)²
X
x² +1 (x²
3+x+2x² - 2x³
(x+2)(x² +1)²
is
Transcribed Image Text:The partial fraction decomposition of A) B) D) 1 1-2x + x+2® (x² +1)³² 1 1 C) x + 2 1 x+2 E) X 1+X x+2_x²+1_(x² +1)² x+1 x² +1 x+1 + x² +1 1 + x+ 2 x + + 2 (x² + 1)² 1+x (x² + 1)² X x² +1 (x² 3+x+2x² - 2x³ (x+2)(x² +1)² is
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