5x? – 12x + 1 (# – 2)²(x+ 1) (a) Setup the partial fraction decomposition for the integrand. For this case you will need to use both the rule for distinct linear factors and the rule for repeated (1) The goal of this problem is to evaluate dx. linear factors. There should be three unknowns. (b) Solve for the three unknowns in step (a). (c) Using your answer to (a) and (b), to evaluate the integral.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.3: Partial Fractions
Problem 12E
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5а2 — 12а + 1
dx.
(x – 2)2(x+ 1)
(1) The goal of this problem is to evaluate
(a) Setup the partial fraction decomposition for the integrand. For this case you
will need to use both the rule for distinct linear factors and the rule for repeated
linear factors. There should be three unknowns.
(b) Solve for the three unknowns in step (a).
(c) Using your answer to (a) and (b), to evaluate the integral.
Transcribed Image Text:5а2 — 12а + 1 dx. (x – 2)2(x+ 1) (1) The goal of this problem is to evaluate (a) Setup the partial fraction decomposition for the integrand. For this case you will need to use both the rule for distinct linear factors and the rule for repeated linear factors. There should be three unknowns. (b) Solve for the three unknowns in step (a). (c) Using your answer to (a) and (b), to evaluate the integral.
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