Explanation Given information: Given definite integral is ∫ 1 3 6 x 2 d x . Calculation: Solving the indefinite integral: ∫ 6 x 2 d x = 6 ∫ 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, ∫ 6 x 2 d x = 6 ∫ x 2 d x ∫ 6 x 2 d x = 6 ( x 2 + 1 2 + 1 ) + c ∫ 6 x 2 d x = 6 ( x 3 3 ) + c ∫ 6 x 2 d x = 2 x 3 + c Where C is a constant

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ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 6.3, Problem 12P

To determine

To evaluate the definite integral using the Fundamental Theorem.

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Chapter 6.3, Problem 11P

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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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Chapter 6 Solutions