Find the partial fraction decomposition for x/(x + 1)(x2 + 9).

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...
Question

Find the partial fraction decomposition for x/(x + 1)(x2 + 9).

Expert Solution
Step 1

The given fraction is

Calculus homework question answer, step 1, image 1

It can be written by partial fraction template as

Calculus homework question answer, step 1, image 2

Comparing both sides of equation

Calculus homework question answer, step 1, image 3

For the real root x+1=0,x=-1 the above equation is

Calculus homework question answer, step 1, image 4

 

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