Explanation The area of the region under the graph of any function is determined as the integration of the function. Given: f ( x ) = 2 x − x 2 , [ 0 , 2 ] Formula Used: A r e a = ∫ a b f ( x ) d x , [ a , b ] = F ( b ) − F ( a ) Calculation: The sketch of the region under the graph of the function f ( x ) = 2 x − x 2 , [ 0 , 2 ] is

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 5.4, Problem 2E

To determine

We need to sketch the region under the graph of the function $f (x) = 2 x - x^{2}, [0, 2]$

We need to find the area of the region under the graph of the function $f (x) = 2 x - x^{2}, [0, 2]$ using FTC I.

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Chapter 5.4, Problem 1E

Chapter 5.4, Problem 3E

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Chapter 5 Solutions

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We need to sketch the region under the graph of the function f ( x ) = 2 x − x 2 , [ 0 , 2 ] We need to find the area of the region under the graph of the function f ( x ) = 2 x − x 2 , [ 0 , 2 ] using FTC I.

Solution Summary: The author explains that the area under the graph of a function is determined as the integration of the function.

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We need to sketch the region under the graph of the function $f (x) = 2 x - x^{2}, [0, 2]$

We need to find the area of the region under the graph of the function $f (x) = 2 x - x^{2}, [0, 2]$ using FTC I.

Want to see the full answer?

Chapter 5 Solutions

We need to sketch the region under the graph of the function f ( x ) = 2 x − x 2 , [ 0 , 2 ] We need to find the area of the region under the graph of the function f ( x ) = 2 x − x 2 , [ 0 , 2 ] using FTC I.

Solution Summary: The author explains that the area under the graph of a function is determined as the integration of the function.

Videos

We need to sketch the region under the graph of the function f(x)=2x−x2,[0,2] We need to find the area of the region under the graph of the function f(x)=2x−x2,[0,2]using FTC I.

Want to see the full answer?

Chapter 5 Solutions

We need to sketch the region under the graph of the function $f (x) = 2 x - x^{2}, [0, 2]$

We need to find the area of the region under the graph of the function $f (x) = 2 x - x^{2}, [0, 2]$ using FTC I.