In Exercises 15-32, evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as necessary. x² dx dt 15. / 16. / J (16 – 1239/2 V9 – x2 dx 18. V12+412 dt 17. x/x² + 16 dx 20. 12V12 – 25 I PR- 19. 2 -9

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 101E
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Problem 20

Evaluate using trigonometric substitution.

In Exercises 15-32, evaluate using trigonometric substitution. Refer to the
table of trigonometric integrals as necessary.
x² dx
dt
15.
16.
9 – x2
(16 – 12)3/2
dx
17.
| V12 + 412 dt
18.
x/x2 + 16
dx
dt
19.
20.
x² - 9
Transcribed Image Text:In Exercises 15-32, evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as necessary. x² dx dt 15. 16. 9 – x2 (16 – 12)3/2 dx 17. | V12 + 412 dt 18. x/x2 + 16 dx dt 19. 20. x² - 9
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