Evaluate the following integral using trigonometric substitution. √81-x² What substitution will be the most helpful for evaluating this integral? OA. x 9 sec 0 OB. x=9 sin 0 OC. x=9 tan! Rewrite the given integral using this substitution. dx S- 2 dx 81-x (Type an exact answer.) Evaluate the integral. = 2 do √81-x (Type an exact answer.)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Evaluate the following integral using trigonometric substitution.
S
√81-x²
What substitution will be the most helpful for evaluating this integral?
OA. x=9 sec 0
OB. x=9 sin 0
OC. x-9 tan
Rewrite the given integral using this substitution.
S
S-
dx
2
dx
81-X
(Type an exact answer.)
Evaluate the integral.
=
2
de
√81-x
(Type an exact answer.)
Transcribed Image Text:Evaluate the following integral using trigonometric substitution. S √81-x² What substitution will be the most helpful for evaluating this integral? OA. x=9 sec 0 OB. x=9 sin 0 OC. x-9 tan Rewrite the given integral using this substitution. S S- dx 2 dx 81-X (Type an exact answer.) Evaluate the integral. = 2 de √81-x (Type an exact answer.)
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