Explanation Given Information: The expression is provided as, ∫ x 2 + 10 x d x . Formula used: The formula 25 for integral ∫ u 2 + a 2 u d u is, ∫ u 2 + a 2 u d u = u 2 + a 2 − a ln | a + u 2 + a 2 u | + C Calculation: Let u = x . Differentiate above integral with respect to x , d u = d x Consider the provided expression, ∫ x 2 + 10 x d x Rewrite ∫ x 2 + 10 x d x = ∫ x 2 + ( 10 1 / 2 ) 2 x d x Here, a = 10 1 / 2 , u = x and d u = d x . Substitute u for x , a for 10 1 / 2 , and d u for d x

Calculus: An Applied Approach (MindTap Course List)

10th Edition

ISBN: 9781305860919

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 6.2, Problem 24E

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Chapter 6.2, Problem 23E

Chapter 6.2, Problem 25E

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Calculus: An Applied Approach (MindTap Course List)

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The solution of indefinite integral ∫ x 2 + 10 x d x .

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Chapter 6 Solutions