Explanation Given information: The indefinite integral ∫ ln ( x 2 + 9 ) d x Formula used: The integral formula ∫ x n d x = x n + 1 n + 1 + C & ∫ 1 x 2 + a 2 d x = 1 a tan − ` x a + C , where C is an arbitrary The integration by parts formula ∫ u ( d v d x ) d x = u v − ∫ v d u d x d x The differential formula d d x ( ln x ) = 1 x Calculation: To evaluate ∫ ln ( x 2 + 9 ) d x We will use integration by-parts treating u = ln ( x 2 + 9 ) & d v d x = 1 , which implies v = ∫ d x , Thus, by use of formula ∫ u ( d v d x ) d x = u v − ∫ v d u d x d x , we have ∫ ln ( x 2 + 9 ) d x = ln ( x 2 + 9 ) ∫ d x − ∫ ( d ( ln ( x

4th Edition

ISBN: 9781319379421

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 7.6, Problem 47E

To determine

Evaluate the integral

∫ln(x2+9)dx

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Chapter 7.6, Problem 46E

Chapter 7.6, Problem 48E

Chapter 7 Solutions

CALCULUS 4E (HC) W/ ACHIEVE ACCESS

Ch. 7.1 - Prob. 1PQ Ch. 7.1 - Prob. 2PQ Ch. 7.1 - Prob. 3PQ Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E

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Prob. 4PQ Ch. 7.6 - Prob. 5PQ Ch. 7.6 - Prob. 6PQ Ch. 7.6 - Prob. 7PQ Ch. 7.6 - Prob. 8PQ Ch. 7.6 - Prob. 9PQ Ch. 7.6 - Prob. 10PQ Ch. 7.6 - Prob. 11PQ Ch. 7.6 - Prob. 1E Ch. 7.6 - Prob. 2E Ch. 7.6 - Prob. 3E Ch. 7.6 - Prob. 4E Ch. 7.6 - Prob. 5E Ch. 7.6 - Prob. 6E Ch. 7.6 - Prob. 7E Ch. 7.6 - Prob. 8E Ch. 7.6 - Prob. 9E Ch. 7.6 - Prob. 10E Ch. 7.6 - Prob. 11E Ch. 7.6 - Prob. 12E Ch. 7.6 - Prob. 13E Ch. 7.6 - Prob. 14E Ch. 7.6 - Prob. 15E Ch. 7.6 - Prob. 16E Ch. 7.6 - Prob. 17E Ch. 7.6 - Prob. 18E Ch. 7.6 - Prob. 19E Ch. 7.6 - Prob. 20E Ch. 7.6 - Prob. 21E Ch. 7.6 - Prob. 22E Ch. 7.6 - Prob. 23E Ch. 7.6 - Prob. 24E Ch. 7.6 - Prob. 25E Ch. 7.6 - Prob. 26E Ch. 7.6 - Prob. 27E Ch. 7.6 - Prob. 28E Ch. 7.6 - Prob. 29E Ch. 7.6 - Prob. 30E Ch. 7.6 - Prob. 31E Ch. 7.6 - Prob. 32E Ch. 7.6 - Prob. 33E Ch. 7.6 - Prob. 34E Ch. 7.6 - Prob. 35E Ch. 7.6 - Prob. 36E Ch. 7.6 - Prob. 37E Ch. 7.6 - Prob. 38E Ch. 7.6 - Prob. 39E Ch. 7.6 - Prob. 40E Ch. 7.6 - Prob. 41E Ch. 7.6 - Prob. 42E Ch. 7.6 - Prob. 43E Ch. 7.6 - 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