Explanation Given information: The given statement is, “The integral ∫ − 1 2 e x d x is the area between the graph of f ( x ) = e x and the x-axis between x = − 1 and x = 2 ”. Concept used: The physical significance of integration is area under curve. Calculation: Area between two curves of f ( x ) and g ( x ) can also be shown by the following graph. In the above graph, the area of the rectangle is ( f ( x ) − g ( x ) ) Δ x

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 5, Problem 28SYU

To determine

To check:

Whether the given statement, “The integral ∫−12exdx is the area between the graph of f(x)=ex and the x-axis between x=−1 and x = 2 ” is true or false.

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Chapter 5, Problem 27SYU

Chapter 5, Problem 29SYU

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Chapter 5 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 5.1 - Prob. 1P Ch. 5.1 - Prob. 2P Ch. 5.1 - Prob. 3P Ch. 5.1 - Prob. 4P Ch. 5.1 - Prob. 5P Ch. 5.1 - Prob. 6P Ch. 5.1 - Prob. 7P Ch. 5.1 - Prob. 8P Ch. 5.1 - Prob. 9P Ch. 5.1 - Prob. 10P

Ch. 5.1 - Prob. 11P Ch. 5.1 - Prob. 12P Ch. 5.1 - Prob. 13P Ch. 5.1 - Prob. 14P Ch. 5.1 - Prob. 15P Ch. 5.1 - Prob. 16P Ch. 5.1 - Prob. 17P Ch. 5.1 - Prob. 18P Ch. 5.1 - Prob. 19P Ch. 5.1 - Prob. 20P Ch. 5.1 - Prob. 21P Ch. 5.1 - Prob. 22P Ch. 5.1 - Prob. 23P Ch. 5.1 - Prob. 24P Ch. 5.1 - Prob. 25P Ch. 5.1 - Prob. 26P Ch. 5.1 - Prob. 27P Ch. 5.1 - Prob. 28P Ch. 5.1 - Prob. 29P Ch. 5.1 - Prob. 30P Ch. 5.1 - Prob. 31P Ch. 5.1 - Prob. 32P Ch. 5.1 - Prob. 33P Ch. 5.1 - Prob. 34P Ch. 5.1 - Prob. 35P Ch. 5.1 - Prob. 36P Ch. 5.1 - Prob. 37P Ch. 5.1 - Prob. 38P Ch. 5.1 - Prob. 39P Ch. 5.1 - Prob. 40P Ch. 5.1 - Prob. 41P Ch. 5.2 - Prob. 1P Ch. 5.2 - Prob. 2P Ch. 5.2 - Prob. 3P Ch. 5.2 - Prob. 4P Ch. 5.2 - Prob. 5P Ch. 5.2 - Prob. 6P Ch. 5.2 - Prob. 7P Ch. 5.2 - Prob. 8P Ch. 5.2 - Prob. 9P Ch. 5.2 - Prob. 10P Ch. 5.2 - Prob. 11P Ch. 5.2 - Prob. 12P Ch. 5.2 - Prob. 13P Ch. 5.2 - Prob. 14P Ch. 5.2 - Prob. 15P Ch. 5.2 - Prob. 16P Ch. 5.2 - Prob. 17P Ch. 5.2 - Prob. 18P Ch. 5.2 - Prob. 19P Ch. 5.2 - 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Knowledge Booster

To check: Whether the given statement, “The integral ∫ − 1 2 e x d x is the area between the graph of f ( x ) = e x and the x-axis between x = − 1 and x = 2 ” is true or false.

Solution Summary: The author analyzes whether the given statement is true or false. The physical significance of integration is area under curve.

To check:

Whether the given statement, “The integral ∫−12exdx is the area between the graph of f(x)=ex and the x-axis between x=−1 and x = 2 ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To check: Whether the given statement, “The integral ∫ − 1 2 e x d x is the area between the graph of f ( x ) = e x and the x-axis between x = − 1 and x = 2 ” is true or false.

Solution Summary: The author analyzes whether the given statement is true or false. The physical significance of integration is area under curve.

To check: Whether the given statement, “The integral ∫−12exdx is the area between the graph of f(x)=ex and the x-axis between x=−1 and x = 2 ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To check:

Whether the given statement, “The integral ∫−12exdx is the area between the graph of f(x)=ex and the x-axis between x=−1 and x = 2 ” is true or false.