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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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