Explanation Given: ∫ 1 3 ( x + 1 ) 2 d x Concept Used: ∫ a b [ f ( x ) + g ( x ) ] d x = ∫ a b f ( x ) d x + ∫ a b g ( x ) d x ∫ x n d x = x n + 1 n + 1 + C , where C is an arbitrary constant Calculation: To solve the exact value of definite integrals ∫ 1 3 ( x + 1 ) 2 d x First simplify it by expanding and using property of integrals, as ∫ 1 3 ( x + 1 ) 2 d x = ∫ 1 3 ( x 2 + 2 x + 1 ) d x = ∫ 1 3 x 2 d x + 2 ∫ 1 3 x d x + ∫ 1 3 1 d x Now, evaluate this as <

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Chapter 4.3, Problem 50S

To determine

To find the exact value of definite integrals

∫13( x+1)2dx

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Chapter 4.3, Problem 49S

Chapter 4.3, Problem 51S

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Chapter 4 Solutions

Calculus

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To find the exact value of definite integrals ∫ 1 3 ( x + 1 ) 2 d x

Solution Summary: The author explains how to solve the exact value of definite integrals.

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To find the exact value of definite integrals

∫13( x+1)2dx

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Chapter 4 Solutions

To find the exact value of definite integrals ∫ 1 3 ( x + 1 ) 2 d x

Solution Summary: The author explains how to solve the exact value of definite integrals.

Videos

To find the exact value of definite integrals ∫13( x+1)2dx

Want to see the full answer?

Chapter 4 Solutions

To find the exact value of definite integrals

∫13( x+1)2dx