Rewrite the rational expression using the method of partial fractions. (Assume a + b.) 8 1 1 ]) (x + 8 - x + b) (x + a)(x + b) a Evaluate the integral. (Assume a ‡ b. Remember to use absolute values where appropriate. Use C for the constant of integration.) J = 8 (x + a)(x + b) dx

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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Rewrite the rational expression using the method of partial fractions. (Assume a = b.)
1
1
1 ) ( x + 0 = x + b )
a
Evaluate the integral. (Assume a + b. Remember to use absolute values where appropriate. Use C for the constant of integration.)
J
8
(x + a)(x + b)
=
8
(x + a)(x + b)
dx
Transcribed Image Text:Rewrite the rational expression using the method of partial fractions. (Assume a = b.) 1 1 1 ) ( x + 0 = x + b ) a Evaluate the integral. (Assume a + b. Remember to use absolute values where appropriate. Use C for the constant of integration.) J 8 (x + a)(x + b) = 8 (x + a)(x + b) dx
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