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Find the indefinite integral. | x cos 9x² dx

Find the indefinite integral. | x cos 9x² dx

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Tutorial Exercise Find the indefinite integral. x cos 9tx? dx Step 1 To find the indefinite integral x cos(9rx2) dx, use the trigonometric identities. Let u = 9nx2. The differential of u with respect to x is du = 187 x dx. 18 - 7 Step 2 Rewrite the integration in terms of u. x cos 9Tx? dx = cs u 18T du 18 - 7 Apply the constant multiplication rule on the right side. cos u du 18t 18 - 7 Step 3 Integrate the right side. sin (9?) cos u du = + C 187 18
Transcribed Image Text:Tutorial Exercise Find the indefinite integral. x cos 9tx? dx Step 1 To find the indefinite integral x cos(9rx2) dx, use the trigonometric identities. Let u = 9nx2. The differential of u with respect to x is du = 187 x dx. 18 - 7 Step 2 Rewrite the integration in terms of u. x cos 9Tx? dx = cs u 18T du 18 - 7 Apply the constant multiplication rule on the right side. cos u du 18t 18 - 7 Step 3 Integrate the right side. sin (9?) cos u du = + C 187 18
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