Consider the indefinite integral (6x³ + 7x² + 3x + 5 dx x4 + 1æ2 Then the integrand has partial fractions decomposition b + x2 сх + d + x² + 1 where a = b = C = d = Integrating term by term, we obtain that (6x³ + 7x² + 3x + 5 dx x4 + læ? +C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 28E
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Consider the indefinite integral
(6x³ + 7x² + 3x + 5
dx
x4 + 1æ2
Then the integrand has partial fractions decomposition
b
+
x2
сх + d
+
x² + 1
where
a =
b =
C =
d =
Integrating term by term, we obtain that
(6x³ + 7x² + 3x + 5
dx
x4 + læ?
+C
Transcribed Image Text:Consider the indefinite integral (6x³ + 7x² + 3x + 5 dx x4 + 1æ2 Then the integrand has partial fractions decomposition b + x2 сх + d + x² + 1 where a = b = C = d = Integrating term by term, we obtain that (6x³ + 7x² + 3x + 5 dx x4 + læ? +C
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