Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) dx, x² + 9 x = 3 tan(0)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 8E
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Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)
x3
dx,
x2 + 9
x = 3 tan(8)
(VP+9)(?– 18) + c
Sketch and label the associated right triangle.
3
x² + 9
3
V9 - x?
Vx² +9
X
Vx - 9
3
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Transcribed Image Text:Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) x3 dx, x2 + 9 x = 3 tan(8) (VP+9)(?– 18) + c Sketch and label the associated right triangle. 3 x² + 9 3 V9 - x? Vx² +9 X Vx - 9 3 Need Help? Watch It 3.
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