Explanation Given information: Given definite integral is ∫ 1 4 1 x d x . Calculation: Solving the indefinite integral: ∫ 1 x d x = ∫ 1 x 1 2 d x = ∫ x − 1 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, ∫ 1 x d x = x − 1 2 + 1 − 1 2 + 1 + c ∫ 1 x d x = x 1 2 1 2 + c ∫ 1 x d x = 2 x 1 2 + c ∫ 1 x d x = 2 x + c Where C is a constant

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 6.3, Problem 7P

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To evaluate the definite integral using the Fundamental Theorem.

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APPLIED CALCULUS (WILEY PLUS)

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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