the function, do the following. f(x) = 2x  from  a = 3  to  b = 4   (a) Approximate the area under the curve from a to b by calculating a Riemann sum using 5 rectangles. Use the method described in this example, rounding to three decimal places. ______square units   (b) Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem.

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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For the function, do the following.
f(x) = 2x  from  a = 3  to  b = 4
 
(a)
Approximate the area under the curve from a to b by calculating a Riemann sum using 5 rectangles. Use the method described in this example, rounding to three decimal places.
______square units
 
(b)
Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem.
 _____________ square units
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