Using u = 2 + 2x*, then the integral x³(2 + 2x4)3 dx becomes 1 u3 du- 8 This evaluates as 1 1 8 12

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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We must also convert the integral limits.
If x = 1, then u = 4
4
%3D
If x = 0, then u = 2 V
2
Step 4
1
4
Using u = 2 + 2x4, then the integral
| x3(2 + 2x4)3 dx becomes
8
u3 du-
This evaluates as
1
4
=
8
8
2.
Transcribed Image Text:We must also convert the integral limits. If x = 1, then u = 4 4 %3D If x = 0, then u = 2 V 2 Step 4 1 4 Using u = 2 + 2x4, then the integral | x3(2 + 2x4)3 dx becomes 8 u3 du- This evaluates as 1 4 = 8 8 2.
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