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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Transcribed Image Text:4.
a. Use a computer algebra system to evaluate the following integrals.
i.
xe" dx
i.
i.
e dx
iv.
dx
V.
b. Based on the pattern of your responses in part (a), guess the value of
dx
. Then use your CAS to check your guess.
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c. Based on the patterns in parts (a) and (b), make a conjecture as to the value of
the integral
dx
when n is a positive integer.
d. Use mathematical induction to prove the conjecture you made in part (c).
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