Consider the indefinite integral (4x³ + 5x² − 1x − 6 [420³ + x² - 1 dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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r4x³ + 5x²
Consider the indefinite integral
S42³
x² 1
Then the integrand decomposes into the form
с
d
ax + b +
+
X 1
-
x + 1
where
a =
b =
C =
d
Integrating term by term, we obtain that
(4x³ + 5x² 1x 6
[4x³
dx =
x² - 1
1x
6
dx
+C
Transcribed Image Text:r4x³ + 5x² Consider the indefinite integral S42³ x² 1 Then the integrand decomposes into the form с d ax + b + + X 1 - x + 1 where a = b = C = d Integrating term by term, we obtain that (4x³ + 5x² 1x 6 [4x³ dx = x² - 1 1x 6 dx +C
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