Explanation Given Information: The provided integral is, ∫ 2 3 x 2 2 x 3 − 7 d x Formula used: Let f be a continuous function on the closed interval [ a , b ] , then the definite integral of f exists on this interval and, ∫ a b f ( x ) d x = F ( b ) − F ( a ) According to the logarithmic rule of integrals, ∫ 1 x d x = ln | x | + C Calculation: Consider the provided integral, ∫ 2 3 x 2 2 x 3 − 7 d x Now, rewrite the integral by dividing and multiplying by 6 as, 1 6 ∫ 2 3 6 x 2 2 x 3 − 7 d x Now, let 2 x 3 − 7 = t , then on obtaining differentials, 6 x 2 d x = d t Thus, the integral becomes, 1 6 ∫ 2 3 6 x 2 2 x 3 − 7 d x = 1 6 ∫ 2 3 d t t Now, use the logarithmic rule of integrals to obtain the value o

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 13, Problem 12RE

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To calculate: The value of the integral ∫23x22x3−7dx.

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Chapter 13, Problem 11RE

Chapter 13, Problem 13RE

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Chapter 13 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 13.1 - CHECKPOINT 1. For the interval [0, 2]. determine...Ch. 13.1 - Prob. 2CP Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E

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The value of the integral ∫ 2 3 x 2 2 x 3 − 7 d x .

Solution Summary: The author calculates the value of the provided integral by dividing and multiplying by 6.

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To calculate: The value of the integral ∫23x22x3−7dx.

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Chapter 13 Solutions