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s the indefinite integral | x2 cos(x3) dx becomes 1 cos(u) du- must also convert the integral limits. If x = VT, then u = If x = 0, then u =

s the indefinite integral | x2 cos(x3) dx becomes 1 cos(u) du- must also convert the integral limits. If x = VT, then u = If x = 0, then u =

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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Step 2 If u = x3 is substituted into x² cos(x3) dx, then we have x² cos(x³) dx = | cos(u)(x² dx)· We must also convert x? dx into an expression involving u. 1 Using du = 3x2 dx, then we get x² dx = du 1 =du Step 3 becomes 1 글| Thus the indefinite integral | x2 cos(x3) dx cos(u) du- 3 We must also convert the integral limits. If x = V, then u = If x = 0, then u =
Transcribed Image Text:Step 2 If u = x3 is substituted into x² cos(x3) dx, then we have x² cos(x³) dx = | cos(u)(x² dx)· We must also convert x? dx into an expression involving u. 1 Using du = 3x2 dx, then we get x² dx = du 1 =du Step 3 becomes 1 글| Thus the indefinite integral | x2 cos(x3) dx cos(u) du- 3 We must also convert the integral limits. If x = V, then u = If x = 0, then u =
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