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
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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