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Consider the indefinite integral *7x³ + 9x² + 12x + 24 -dx x4 + 4x2

Consider the indefinite integral *7x³ + 9x² + 12x + 24 -dx x4 + 4x2

College Algebra
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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7x³ + 9x2 + 12x + 24 -dx Consider the indefinite integral x4 + 4x2 Then the integrand has partial fractions decomposition a b cx + d x2 x2 + 4 where a = b = C = d = Integrating term by term, we obtain that (7æ³ + 9x² + 12x + 24 -dx x4 + 4x2 +C
Transcribed Image Text:7x³ + 9x2 + 12x + 24 -dx Consider the indefinite integral x4 + 4x2 Then the integrand has partial fractions decomposition a b cx + d x2 x2 + 4 where a = b = C = d = Integrating term by term, we obtain that (7æ³ + 9x² + 12x + 24 -dx x4 + 4x2 +C
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