Express the integrand as a sum of partial fractions and evaluate the integral. 1 x3 + 4x + 4 -dx A 2 - 4x-12 In |x + 21 B) 12 In |x-41 12 x + 2 + 8 (x + 2)2 8 (x + 2)² x² - 4x+6 In |x+2|x+2 + C + C + C ²-4x+12 In x+21 + x₂ +C 8 + 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 54E
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Express the integrand as a sum of partial fractions and evaluate the integral.
x3
√2+³x++
x² + 4x + 4
Α)
-dx
x² - 4x-12 In x+21
© ²2
12
8
B12 in x-41 + x2(x + 2)²
+
4x + 6 In |x+2/
- 4x + 12 In
+
|x + 21
8
(x + 2)²
4
x + 2
+
8
x + 2
+ C
+ C
+ C
+ C
Transcribed Image Text:Express the integrand as a sum of partial fractions and evaluate the integral. x3 √2+³x++ x² + 4x + 4 Α) -dx x² - 4x-12 In x+21 © ²2 12 8 B12 in x-41 + x2(x + 2)² + 4x + 6 In |x+2/ - 4x + 12 In + |x + 21 8 (x + 2)² 4 x + 2 + 8 x + 2 + C + C + C + C
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