Explanation Given Information: The provided integral is ∫ x csc 2 x 2 d x . Formula used: Write the formula of integral of csc 2 u . ∫ csc 2 u d u = − cot u + C Write the formula for derivative of x n . d d x x n = n x n − 1 Calculation: The provided integral is, ∫ x csc 2 x 2 d x Consider u = x 2 Differentiate the above considered function. d u = 2 x d x Multiply and divide by 2 . ∫ x csc 2 x 2 d x = 1 2 ∫ 2 x csc 2 x 2 d x = 1 2 ∫ ( csc 2 x 2 ) 2 x d x Substitute u for x 2 and d u for 2 x d x

Calculus: An Applied Approach (Providence College: MTH 109)

9th Edition

ISBN: 9781285142616

Author: Ron Larson

Publisher: CENGAGE C

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Chapter 8, Problem 103RE

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To calculate: The integral of ∫xcsc2x2dx.

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Chapter 8, Problem 102RE

Chapter 8, Problem 104RE

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Chapter 8 Solutions

Calculus: An Applied Approach (Providence College: MTH 109)

Ch. 8.1 - For each angle, find a coterminal angle such that...Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 1SWU Ch. 8.1 - Prob. 2SWU Ch. 8.1 - Prob. 3SWU Ch. 8.1 - Prob. 4SWU Ch. 8.1 - Prob. 5SWU Ch. 8.1 - Prob. 6SWU

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The integral of ∫ x csc 2 x 2 d x .

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To calculate: The integral of ∫xcsc2x2dx.

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Chapter 8 Solutions