Consider the indefinite integral: A The integrand has the following partial fraction decomposition: B = = 6 (a) Determine the value of the following constants: 2 C = 5 D= = 4 I= -S72³ (b) Evaluate the indefinite integral. 7x³ + 10x² + 32x +96 x4 + 16x² I= 5/2ln|x^2+16|+arctan(x/4)+2ln(x)-6/x+ A x² B X + Cx + D x² + 16 dx.

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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evaluate the indefinite integral

Consider the indefinite integral:
A
The integrand has the following partial fraction decomposition:
B =
6
(a) Determine the value of the following constants:
= 2
C = 5
D= = 4
I=
- 172²
(b) Evaluate the indefinite integral.
7x³ + 10x² + 32x +96
x4 + 16x²
I= 5/2ln|x^2+16|+arctan(x/4)+2ln(x)-6/x+
A
x²
B
X
+
Cx + D
x² + 16
dx.
Transcribed Image Text:Consider the indefinite integral: A The integrand has the following partial fraction decomposition: B = 6 (a) Determine the value of the following constants: = 2 C = 5 D= = 4 I= - 172² (b) Evaluate the indefinite integral. 7x³ + 10x² + 32x +96 x4 + 16x² I= 5/2ln|x^2+16|+arctan(x/4)+2ln(x)-6/x+ A x² B X + Cx + D x² + 16 dx.
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