Consider the indefinite integral ax + b + where Then the integrand decomposes into the form C d a = b = C = d = S + x 4 x + 4 4x³ + 2x²59x - 36 x² 16 Integrating term by term, we obtain that 4x³+ 2x² 59x - 36 dx = x² - 16 dx +C

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.CR: Chapter Review
Problem 67E: 67. Calculate the discriminant associated with the equation 6x2+5x+1=0.
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Consider the indefinite integral
where
a =
Then the integrand decomposes into the form
с
d
ax + b +
b =
C =
d =
X
+
4 x + 4
4x³ + 2x² 59x - 36
x² - 16
S
dx
Integrating term by term, we obtain that
4x³2x² 59x - 36
S
x² - 16
=
dx
+C
Transcribed Image Text:Consider the indefinite integral where a = Then the integrand decomposes into the form с d ax + b + b = C = d = X + 4 x + 4 4x³ + 2x² 59x - 36 x² - 16 S dx Integrating term by term, we obtain that 4x³2x² 59x - 36 S x² - 16 = dx +C
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