Question 008: Complete the following question involving Partial Fractions Given the following integral 4x2 - 7x + 3 dx x3 - 8x2 + 16x (1) Factor the denominator, and (2) Determine the form that the partial fraction should take. Factor x(x - 2)x - 8) A Form х- 2 x-8

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.14P
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Question 008: Complete the following question involving Partial Fractions
Given the following integral
S:
4x2 - 7x + 3
dx
x3 - 8x2 + 16x
(1) Factor the denominator, and (2) Determine the form that the partial fraction should take.
Factor
X(x - 2)(x - 8)
A
В
Form
X- 2
X- 8
Factor
X(x - 4)(x - 4)
В
+
Form
X-4
X- 4
Factor
(x -4)(x - 4)
A.
В
Form
(x - 4)2
X-4
Factor
x(x - 4)(x - 4)
A
B
+
Form
X-4
(x - 4)2
Transcribed Image Text:Question 008: Complete the following question involving Partial Fractions Given the following integral S: 4x2 - 7x + 3 dx x3 - 8x2 + 16x (1) Factor the denominator, and (2) Determine the form that the partial fraction should take. Factor X(x - 2)(x - 8) A В Form X- 2 X- 8 Factor X(x - 4)(x - 4) В + Form X-4 X- 4 Factor (x -4)(x - 4) A. В Form (x - 4)2 X-4 Factor x(x - 4)(x - 4) A B + Form X-4 (x - 4)2
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