Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 2x dx + 16 Step 1 2x To find the definite integral dx, apply the basic integration rule. + 16 Let u = x² + 16. Differentiate u in terms of x, du = A 2 x dx. Step 2 Rewrite the integration in terms of u. 2x x = 3 dx = V x2 + 16 np Step 3 Apply the power rule of integration. rx = 3 x = 3 1 du = du +1 7x = 3 +1Jo 1x = 3

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result.
2x
dx
Vx2 + 16
Step 1
2x
To find the definite integral
Vx +
dx, apply the basic integration rule.
+ 16
Let u = x² + 16. Differentiate u in terms of x, du =
A 2 x dx.
Step 2
Rewrite the integration in terms of u.
2x
x = 3
du
V x2 + 16
= xp
Step 3
Apply the power rule of integration.
rx = 3
x = 3
du =
du
+1 1x = 3
+1Jo
1x = 3
Transcribed Image Text:Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 2x dx Vx2 + 16 Step 1 2x To find the definite integral Vx + dx, apply the basic integration rule. + 16 Let u = x² + 16. Differentiate u in terms of x, du = A 2 x dx. Step 2 Rewrite the integration in terms of u. 2x x = 3 du V x2 + 16 = xp Step 3 Apply the power rule of integration. rx = 3 x = 3 du = du +1 1x = 3 +1Jo 1x = 3
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