Calculating areas and average values: Express each of the fol- lowing areas or average values with a definite integral, and then use definite integral formulas to compute the exact value of the area or average value. 35. The signed area between the graph of f (x) = 3x? – 7x+2 and the x-axis on [0, 4]. 36. The absolute area between the graph of f (x) = 3x²–7x+2 and the x-axis on [0, 4]. 37. The average value of the function f(x) = sin 2x on [0, 7]. 38. The area between the graphs of f (x) = 4 – x² and 1 – 2x on [-4, 4].
Calculating areas and average values: Express each of the fol- lowing areas or average values with a definite integral, and then use definite integral formulas to compute the exact value of the area or average value. 35. The signed area between the graph of f (x) = 3x? – 7x+2 and the x-axis on [0, 4]. 36. The absolute area between the graph of f (x) = 3x²–7x+2 and the x-axis on [0, 4]. 37. The average value of the function f(x) = sin 2x on [0, 7]. 38. The area between the graphs of f (x) = 4 – x² and 1 – 2x on [-4, 4].
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
![Calculating areas and average values: Express each of the fol-
lowing areas or average values with a definite integral, and
then use definite integral formulas to compute the exact value
of the area or average value.
35. The signed area between the graph of f (x) = 3x? – 7x+2
and the x-axis on [0, 4].
36. The absolute area between the graph of f (x) = 3x²–7x+2
and the x-axis on [0, 4].
37. The average value of the function f(x) = sin 2x on [0, 7].
38. The area between the graphs of f (x) = 4 – x² and 1 – 2x
on [-4, 4].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec83b3ca-387b-424b-b8b7-38f0df79ac38%2F5ab3d7e5-c180-42dd-8354-98c5991b9f8a%2Fusk8gue_processed.png&w=3840&q=75)
Transcribed Image Text:Calculating areas and average values: Express each of the fol-
lowing areas or average values with a definite integral, and
then use definite integral formulas to compute the exact value
of the area or average value.
35. The signed area between the graph of f (x) = 3x? – 7x+2
and the x-axis on [0, 4].
36. The absolute area between the graph of f (x) = 3x²–7x+2
and the x-axis on [0, 4].
37. The average value of the function f(x) = sin 2x on [0, 7].
38. The area between the graphs of f (x) = 4 – x² and 1 – 2x
on [-4, 4].
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