Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 6 2x dx x + 64 Step 1 '6 2x To find the definite integral dx, apply the basic integration rule. x² + 64 Let u = x2 + 64. Differentiate u in terms of x, du = A 2 x dx. Step 2 Rewrite the integration in terms of u. '9. 2x x = 6 dx = 64 du x² + Vu

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.
'6
2x
dx
V x2 + 64
Step 1
9.
2x
To find the definite integral
dx, apply the basic integration rule.
x² + 64
Let u = x2 + 64. Differentiate u in terms of x, du =
2 x dx.
Step 2
Rewrite the integration in terms of u.
9.
2x
'x = 6
dx =
+ 64
du
Transcribed Image Text:Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. '6 2x dx V x2 + 64 Step 1 9. 2x To find the definite integral dx, apply the basic integration rule. x² + 64 Let u = x2 + 64. Differentiate u in terms of x, du = 2 x dx. Step 2 Rewrite the integration in terms of u. 9. 2x 'x = 6 dx = + 64 du
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