2x4 +3x2 - 1 Rewrite -dx as integral of sum of partial fractions. (x3 – 4x2 + 5x)?

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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2x4 +3x2 - 1
Rewrite
dx as integral of sum of partial fractions.
(x3 – 4x2 + 5x)?
B
C
D
+
x +1
E
dx
(x+ 1)2
(x- 5)2
B(2x - 4) + C
X-5
D(2x- 4) +E
dx
(x2 – 4x + 5)
x2 - 4x +5
B
+
C
+
X-5
E
(x- 5)2
dx
(x + 1)2
x+1
C(2x- 4) + D
+
E(2x- 4) + F
dx
x2
x2 - 4x + 5
(x2 – 4x +5)
Transcribed Image Text:2x4 +3x2 - 1 Rewrite dx as integral of sum of partial fractions. (x3 – 4x2 + 5x)? B C D + x +1 E dx (x+ 1)2 (x- 5)2 B(2x - 4) + C X-5 D(2x- 4) +E dx (x2 – 4x + 5) x2 - 4x +5 B + C + X-5 E (x- 5)2 dx (x + 1)2 x+1 C(2x- 4) + D + E(2x- 4) + F dx x2 x2 - 4x + 5 (x2 – 4x +5)
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