Explanation Given information: Given definite integral is ∫ 0 5 3 x 2 d x . Calculation: Solving the indefinite integral: ∫ 3 x 2 d x = 3 ∫ x 2 d x The antiderivative of a function of the form x n is given by ∫ x n d x = x n + 1 n + 1 + C where n â‰ -1 Using the above-mentionedrules, ∫ 3 x 2 d x = 3 ∫ x 2 d x ∫ 3 x 2 d x = 3 ( x 2 + 1 2 + 1 ) + c ∫ 3 x 2 d x = 3 ( x 3 3 ) + c ∫ 3 x 2 d x = x 3 + c Where C is a constant

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 6.3, Problem 9P

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To evaluate the definite integral using the Fundamental Theorem.

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Chapter 6.3, Problem 8P

Chapter 6.3, Problem 10P

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To evaluate the definite integral using the Fundamental Theorem.

Solution Summary: The author evaluates the definite integral using the Fundamental Theorem.

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To evaluate the definite integral using the Fundamental Theorem.

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Chapter 6 Solutions