The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) = (x+2) In (x+2). Find the total revenue from the sale of the first 15 (x + 2)²₁ x² calculators. (Hint: In this exercise, it simplifies matters to write an antiderivative of x + 2 as rather than 2 +2x.) 2 Set up the integral to find the total revenue from the sale of the first 15 calculators. Do not express your answer in terms of R(x). dx

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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The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) = (x + 2) In (x+2). Find the total revenue from the sale of the first 15
2
(x+2)²
X
calculators. (Hint: In this exercise, it simplifies matters to write an antiderivative of x + 2 as
rather than
+2x.)
2
2
Set up the integral to find the total revenue from the sale of the first 15 calculators. Do not express your answer in terms of R(x).
10-
dx
0
Transcribed Image Text:The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) = (x + 2) In (x+2). Find the total revenue from the sale of the first 15 2 (x+2)² X calculators. (Hint: In this exercise, it simplifies matters to write an antiderivative of x + 2 as rather than +2x.) 2 2 Set up the integral to find the total revenue from the sale of the first 15 calculators. Do not express your answer in terms of R(x). 10- dx 0
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