Explanation Given: The provided expression is ∫ x 3 sin x d x . Formula used: The by-parts rule is ∫ u d v = u v − ∫ v d u . Calculation: Consider the function ∫ x 3 sin x d x . Let u = x 3 , d v = sin x d x . Solve both separately. First, u = x 3 Differentiate both sides. d u = 3 x 2 d x Now solve the other one. d v = sin x d x Integrate both sides, v = − cos x Next, create a table that consists of three columns

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ISBN: 9781285057095

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Chapter 8.2, Problem 51E

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To calculate: The value of integral of ∫x3sinxdx using tabular method.

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Chapter 8.2, Problem 50E

Chapter 8.2, Problem 52E

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Chapter 8 Solutions

Calculus

Ch. 8.1 - Choosing an Antiderivative In Exercises 3 and 4,...Ch. 8.1 - Choosing an Antiderivative In Exercises 3 and 4,...Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Choosing a Formula In Exercises 514, select the...Ch. 8.1 - Prob. 6E Ch. 8.1 - Choosing a Formula In Exercises 514, select the...Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

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The value of integral of ∫ x 3 sin x d x using tabular method.

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Chapter 8 Solutions