Explanation Given information: The integral ∫ tan 2 3 x d x Formula used: Constant- multiple rule: ∫ k f ( x ) d x = k ∫ f ( x ) d x sec 2 t = 1 + tan 2 t ∫ sec 2 a x d x = 1 a tan a x + C ∫ 1 d x = x + C , where a is a constant and C is the constant of integration. Calculation: Evaluate ∫ tan 2 3 x d x as follows, The identity sec 2 x = 1 + tan 2 x ⇒ tan 2 x = sec 2 x − 1

12th Edition

ISBN: 9780137590810

Author: Larry J. Goldstein, David C. Lay, David I. Schneider, Nakhle H. Asmar, William Edward Tavernetti

Publisher: PEARSON

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Chapter 8, Problem 76RE

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To calculate: The integral ∫tan23x dx using the identity sec2x=1+tan2x.

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Chapter 8, Problem 75RE

Chapter 8, Problem 77RE

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The integral ∫ tan 2 3 x d x using the identity sec 2 x = 1 + tan 2 x .

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To calculate: The integral ∫tan23x dx using the identity sec2x=1+tan2x.

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Chapter 8 Solutions