6x3 +7x2 + 20x + 16 Consider the indefinite integral 24 + 4x2 Then the integrand has partial fractions decomposition a cz + d x2 + 4 where a = 4 b =5 C = 1 d = 3 Integrating term by term, we obtain that (6x + 71 + 20x + 16 4 + 4x2 In(2 + 4) x +C of

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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Bx³ + 7x² + 20x + 16
Consider the indefinite integral
24 + 4x?
Then the integrand has partial fractions decomposition
a
cx + d
x2
where
x2 + 4
a =
b = 5
C = 1
d = 3
Integrating term by term, we obtain that
(6x + 7x2 + 20x + 16
dr =
x4 + 4x2
In(=² + 4)
X +C
%23
24
*
4.
8
y
60
Transcribed Image Text:Bx³ + 7x² + 20x + 16 Consider the indefinite integral 24 + 4x? Then the integrand has partial fractions decomposition a cx + d x2 where x2 + 4 a = b = 5 C = 1 d = 3 Integrating term by term, we obtain that (6x + 7x2 + 20x + 16 dr = x4 + 4x2 In(=² + 4) X +C %23 24 * 4. 8 y 60
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