Explanation Given: The given integral is ∫ − 2 − 1 p x 2 d x . Concept used: Formula to evaluate the integral of the form ∫ a x n d x is shown below. ∫ a x n d x = a ∫ x n d x = a x n + 1 n + 1 + C , n ≠ − 1 Linear property of integral are as follows: ∫ [ a f ( x ) ± b g ( x ) ] d x = a ∫ f ( x ) d x ± b ∫ g ( x ) d x Formula used: Fundamental theorem of Calculus I: ∫ a b f ( x ) d x = F ( b ) − F ( a ) Where F ′ ( x ) = f ( x ) Calculation: Consider the integral ∫ − 2 − 1 p x 2 d x . Solve the integral ∫ − 2 − 1 p x 2 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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Chapter 5.4, Problem 8PS

To determine

To find: The value of the integral ∫−2−1p x 2dx .

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Chapter 5.4, Problem 7PS

Chapter 5.4, Problem 9PS

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Chapter 5 Solutions

Calculus

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The value of the integral ∫ − 2 − 1 p x 2 d x .

Solution Summary: The author explains the formula to evaluate the integral of the form displaystyleint axndx.

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To find: The value of the integral ∫−2−1p x 2dx .

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Chapter 5 Solutions