Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 6. 2x dx x* + 64

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result.
2x
dx
+ 64
Step 1
6
2x
To find the definite integral
dx, apply the basic integration rule.
+ 64
Let u = x- + 64. Differentiate u in terms of x, du = 4 X
2 x dx.
Step 2
Rewrite the integration in terms of u.
9.
2x
Xx=6
dx =
du
x + 64
Transcribed Image Text:Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 2x dx + 64 Step 1 6 2x To find the definite integral dx, apply the basic integration rule. + 64 Let u = x- + 64. Differentiate u in terms of x, du = 4 X 2 x dx. Step 2 Rewrite the integration in terms of u. 9. 2x Xx=6 dx = du x + 64
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