Explanation Given: The integral is: ∫ 0 3 x 2 + 16 d x . Formula used: Use the formula 26 from the table of integrals: ∫ a 2 + u 2 d u = 1 2 [ u u 2 + a 2 + a 2 ln | u + u 2 + a 2 | ] + C Calculation: Consider the provided integral, ∫ 0 3 x 2 + 16 d x Now, use the formula 26 to solve the integral. Let a = 4 and u = x . Then d u = d x . ∫ x 2 + 16 d x = 1 2 [ x x 2 + 16 + 4 2 ln | x + x 2 + 16 | ] + C = 1

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ISBN: 9781337678445

Author: Larson, Edward

Publisher: CENGAGE L

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Chapter 8.7, Problem 48E

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To calculate: The value of the definite integral ∫03x2+16dx by the use of a table of integrals.

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Chapter 8.7, Problem 47E

Chapter 8.7, Problem 49E

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The value of the definite integral ∫ 0 3 x 2 + 16 d x by the use of a table of integrals.

Solution Summary: The author explains how to calculate the value of the provided integral by using the formula 26 from the table of integrals.

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To calculate: The value of the definite integral ∫03x2+16dx by the use of a table of integrals.

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Chapter 8 Solutions