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
Transcribed Image Text:3.
a. Use a computer algebra system to evaluate the following integrals.
i.
In x dx
i.
x In x dx
iii.
x² In x dx
iv.
| x³ In a dæ
V.
x' In x dx
b. Based on the pattern of your responses in part (a), guess the value of
x" In x dx
c. Use integration by parts to prove the conjecture that you made in part (b). For
what values of n is it valid?
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