Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator) 3x + 17 dx x2 + 9x + 20 In x+ 4)5 (x + 5)2 +C O In (x + 4) 6 (x + 5)5 + C O In x+ 42 + C (x + 5)5 In (x + 4)3 + C (x + 5)5

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 53PS
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Express the integrand as a sum of partial fractions and evaluate
the integral. (Hint: factor the denominator)
S x+ 17
dx
x2 + 9x + 20
O In x+ 45
(x + 5)2
+ C
O In x+ 4)6
+ C
(x + 5)5
O In x+ 42
(x + 5)5
+ C
O In x+ 43
(x + 5)5
+ C
Transcribed Image Text:Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator) S x+ 17 dx x2 + 9x + 20 O In x+ 45 (x + 5)2 + C O In x+ 4)6 + C (x + 5)5 O In x+ 42 (x + 5)5 + C O In x+ 43 (x + 5)5 + C
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