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

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Question

Chapter 6.3, Problem 14P

To determine

To evaluate the definite integral using the Fundamental Theorem.

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Chapter 6.3, Problem 13P

Chapter 6.3, Problem 15P

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Chapter 6 Solutions

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. The antiderivative of a function of the form x n is given by displaystyle

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To evaluate the definite integral using the Fundamental Theorem.

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Chapter 6 Solutions