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Improper Integrals - Integrating a Discontinuous Integrand. In this problem our goal is to determine whether the improper integral below converges or diverges. If it converges, we will determine the value of the imprope integral. 1 da 7+3z – 40 Part 1. 1 Begin by finding the area under the curve y 1² + 3x - from z =t to a = 9, t > 5. This area can be written as the definite integral 40 A(t) Upon evaluating the definite integral you found above, we have A(t) – t>5 Part 2. Now we will find the limit of A(t) as t → 5+. lim A(t) Part 3. Based on your answer for Part 2. above, the improper integral either converges to a finite value or diverges. If the integral converges, state that it converges ar what value it converges. Otherwise, state that it diverges to infinity. The integral to

Improper Integrals - Integrating a Discontinuous Integrand. In this problem our goal is to determine whether the improper integral below converges or diverges. If it converges, we will determine the value of the imprope integral. 1 da 7+3z – 40 Part 1. 1 Begin by finding the area under the curve y 1² + 3x - from z =t to a = 9, t > 5. This area can be written as the definite integral 40 A(t) Upon evaluating the definite integral you found above, we have A(t) – t>5 Part 2. Now we will find the limit of A(t) as t → 5+. lim A(t) Part 3. Based on your answer for Part 2. above, the improper integral either converges to a finite value or diverges. If the integral converges, state that it converges ar what value it converges. Otherwise, state that it diverges to infinity. The integral to

Calculus: Early Transcendentals
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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Improper Integrals - Integrating a Discontinuous Integrand. In this problem our goal is to determine whether the improper integral below converges or diverges. If it converges, we will determine the value of the improper integral. 1 dz 40 Part 1. 1 Begin by finding the area under the curve y = 12 + 3x from z =t to r = 9, t> 5. This area can be written as the definite integral 40 A(t) = Upon evaluating the definite integral you found above, we have A(t) =t>: Part 2. Now we will find the limit of A(t) as t → 5+. lim A(t) t-5+ Part 3. Based on your answer for Part 2. above, the improper integral either converges to a finite value or diverges. If the integral converges, state that it converges and to what value it converges. Otherwise, state that it diverges to infinity. The integral to
Transcribed Image Text:Improper Integrals - Integrating a Discontinuous Integrand. In this problem our goal is to determine whether the improper integral below converges or diverges. If it converges, we will determine the value of the improper integral. 1 dz 40 Part 1. 1 Begin by finding the area under the curve y = 12 + 3x from z =t to r = 9, t> 5. This area can be written as the definite integral 40 A(t) = Upon evaluating the definite integral you found above, we have A(t) =t>: Part 2. Now we will find the limit of A(t) as t → 5+. lim A(t) t-5+ Part 3. Based on your answer for Part 2. above, the improper integral either converges to a finite value or diverges. If the integral converges, state that it converges and to what value it converges. Otherwise, state that it diverges to infinity. The integral to
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