State the form of the partial fractions decomposition for the following anti-derivatives: X-1 Example: ·S X-1 (x + 2)²(x-3) -dx = x² - 1 (x² + 4)(x-3) b. J. -dx = x - 3 (x² +9)(x²-4) dx = A (x + 2) = dx = S₁ (x + 2)(x-3) B (x - 3) -dx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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State the form of the partial fractions decomposition for the following anti-derivatives:
X-1
Example:
(x + 2)(x - 3)
X-1
(x+ 2)²(x-3)
x² - 1
(x² + 4)(x-3)
b. S.
dx =
-dx =
x - 3
(x² + 9)(x² - 4)
2
dx =
A
(x + 2)
= dx = S₁
B
(x - 3)
-dx
Transcribed Image Text:State the form of the partial fractions decomposition for the following anti-derivatives: X-1 Example: (x + 2)(x - 3) X-1 (x+ 2)²(x-3) x² - 1 (x² + 4)(x-3) b. S. dx = -dx = x - 3 (x² + 9)(x² - 4) 2 dx = A (x + 2) = dx = S₁ B (x - 3) -dx
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