Explanation Given: The given integral is ∫ − 1 2 f ( x ) d x . Moreover, the following results are given: ∫ − 1 1 f ( x ) d x = 3 ∫ 2 3 f ( x ) d x = − 2 ∫ 1 3 f ( x ) d x = 5 Formula used: Sub-division Property of definite integral: ∫ a b f ( x ) d x = ∫ a c f ( x ) d x + ∫ c b f ( x ) d x ∫ a b f ( x ) d x = − ∫ b a f ( x ) d x Where c ∈ [ a , b ] Calculation: Consider the integral ∫ − 1 2 f ( x ) d x . Solve the integral ∫ − 1 2 f ( x ) d x as follows

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Question

Chapter 5.3, Problem 45PS

To determine

To find: The value of the integral ∫−12f(x)dx .

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Chapter 5.3, Problem 44PS

Chapter 5.3, Problem 46PS

Chapter 5 Solutions

Calculus

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

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The value of the integral ∫ − 1 2 f ( x ) d x .

Solution Summary: The author calculates the value of the integral displaystyle, which is 10.

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To find: The value of the integral ∫−12f(x)dx .

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Chapter 5 Solutions