Express the integrand as a sum of partial fractions and evaluate the integral. x + 8x+16 D. 2 X 2 X 2 2 X 3 2 dx - 8x - 48 In|x + 4| + - 64 (x+4)² +C 64 - 8x + 48 In |x + 4 + · +C x+4 - 8x + 12 In |x+4|- 48 In |x-16|+ 48 x+4 16 x+4 +C 64 (x+4)² +C
Express the integrand as a sum of partial fractions and evaluate the integral. x + 8x+16 D. 2 X 2 X 2 2 X 3 2 dx - 8x - 48 In|x + 4| + - 64 (x+4)² +C 64 - 8x + 48 In |x + 4 + · +C x+4 - 8x + 12 In |x+4|- 48 In |x-16|+ 48 x+4 16 x+4 +C 64 (x+4)² +C
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
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![Express the integrand as a sum of partial fractions and evaluate the integral.
2
x + 8x + 16
A.
B.
C.
2
X
x²
X
x²
2
X
2
dx
- 8x-48 In|x+4 +
- 8x+12 In|x+4
64
- 8x + 48 In |x + 4 + · +C
x+4
D. 48 In |x-16+ ·
48
64
(x+4)²
x+4
16
Xx+4
+C
+C
64
(x+4)²
+C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31b2efbf-9f66-40ec-8808-a024961da689%2F4b97d6a0-17ca-4ce4-9128-3f7ea3a594f9%2Fzhpldo_processed.png&w=3840&q=75)
Transcribed Image Text:Express the integrand as a sum of partial fractions and evaluate the integral.
2
x + 8x + 16
A.
B.
C.
2
X
x²
X
x²
2
X
2
dx
- 8x-48 In|x+4 +
- 8x+12 In|x+4
64
- 8x + 48 In |x + 4 + · +C
x+4
D. 48 In |x-16+ ·
48
64
(x+4)²
x+4
16
Xx+4
+C
+C
64
(x+4)²
+C
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