a) b) Consider the function f(x) 3 22+5 +6 Determine the partial fraction decomposition of f(x) Consider the improper integral 3 S₁ #² + 5x + 6² dx. = 3 2+52+6 Determine if this integral converges or diverges. If it converges, state its value. justify any limits you compute and use proper notation!

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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6)
a)
b)
Consider the function f(x)
=
3
r2+5+6
Determine the partial fraction decomposition of f(x)
3
r2+52+6
=
Consider the improper integral Lo=
Determine if this integral converges or diverges. If it converges, state its value.
justify any limits you compute and use proper notation!
dx.
3
x2+5+6
Transcribed Image Text:6) a) b) Consider the function f(x) = 3 r2+5+6 Determine the partial fraction decomposition of f(x) 3 r2+52+6 = Consider the improper integral Lo= Determine if this integral converges or diverges. If it converges, state its value. justify any limits you compute and use proper notation! dx. 3 x2+5+6
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