54x + 21 Evaluate dx where 9x2 + 7x + 8 > 0. | 9x² + 7x + 8 First substitute u = 54x + 21 -dx 7x + 8 Then du 9x2 + Now integrate with respect to u to get + C 54x + 21 -dx So 9x2 + 7x + 8 + C %3D

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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54x + 21
Evaluate
dæ where 9x? + 7x + 8 > 0.
9x2
+ 7x + 8
First substitute u =
54x + 21
dx
9x2 + 7x + 8
Then
du
Now integrate with respect to u to get
+ C
54x + 21
So
9x?
-dx =
+ 7x + 8
+ C
Transcribed Image Text:54x + 21 Evaluate dæ where 9x? + 7x + 8 > 0. 9x2 + 7x + 8 First substitute u = 54x + 21 dx 9x2 + 7x + 8 Then du Now integrate with respect to u to get + C 54x + 21 So 9x? -dx = + 7x + 8 + C
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