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Question 5. Given the improper integral ₁x²dx, which of the following is true? A: The integral converges for all p > 0 B: The integral converges for all p < 0. C: The integral converges for p ≤ -1. D: The integral diverges for p > -1. E: The integral is divergent for all values of p.

Question 5. Given the improper integral ₁x²dx, which of the following is true? A: The integral converges for all p > 0 B: The integral converges for all p < 0. C: The integral converges for p ≤ -1. D: The integral diverges for p > -1. E: The integral is divergent for all values of p.

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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Question 5. Given the improper integral x²dx, which of the following is true? A: The integral converges for all p > 0 B: The integral converges for all p < 0. C: The integral converges for p ≤ -1. D: The integral diverges for p ≥ −1. E: The integral is divergent for all values of p.
Transcribed Image Text:Question 5. Given the improper integral x²dx, which of the following is true? A: The integral converges for all p > 0 B: The integral converges for all p < 0. C: The integral converges for p ≤ -1. D: The integral diverges for p ≥ −1. E: The integral is divergent for all values of p.
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