723+8x2 +45x + 36dxConsider the indefinite integralx4 + 9x2Then the integrand has partial fractions decompositionaca + dx2 + 9wherea =b =C =d =Integrating term by term, we obtain that7x3+8x2 + 45x +36dr =x4 + 9x2+C

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Consider the indefinite integral 723+8x2 +45x + 36 dx x4 + 9x2 Then the integrand has partial fractions decomposition a 9. cx + d x2 + 9 where a = b = C = d = Integrating term by term, we obtain that 7x3+8x2 + 45x +36 dr x4 + 9x2 +C

Consider the indefinite integral 723+8x2 +45x + 36 dx x4 + 9x2 Then the integrand has partial fractions decomposition a 9. cx + d x2 + 9 where a = b = C = d = Integrating term by term, we obtain that 7x3+8x2 + 45x +36 dr x4 + 9x2 +C

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.4: Partial Fractions

Problem 2SE: Can you explain why a partial fraction decomposition is unique? (Hint: Think about it as a system of...

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Question

723+8x2 +45x + 36
dx
Consider the indefinite integral
x4 + 9x2
Then the integrand has partial fractions decomposition
a
ca + d
x2 + 9
where
a =
b =
C =
d =
Integrating term by term, we obtain that
7x3+8x2 + 45x +36
dr =
x4 + 9x2
+C

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