Evaluate 1 x²√√x²-9 J dx.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 71E
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Common Trigonometric Substitutions. The following is a summary of when to use each trig
substitution.
Expression Substitution Domain
√a²-x²
/a²+x²
√x² a²
x = a sin 0,
x = a tan 0,
x = a sec 0,
ㅠ
<O<
π
ㅠ
- 17/12<0</7/2
ㅠ
ㅠ
0 ≤0 < or
or π <<
2
3π
2
Identity
1 — sin² 0 = cos² 0
1+tan² 0 = sec² 0
sec² 0 - 1 = tan²0
Transcribed Image Text:Common Trigonometric Substitutions. The following is a summary of when to use each trig substitution. Expression Substitution Domain √a²-x² /a²+x² √x² a² x = a sin 0, x = a tan 0, x = a sec 0, ㅠ <O< π ㅠ - 17/12<0</7/2 ㅠ ㅠ 0 ≤0 < or or π << 2 3π 2 Identity 1 — sin² 0 = cos² 0 1+tan² 0 = sec² 0 sec² 0 - 1 = tan²0
Evaluate
|
1
x²√x²
- 9
dx.
Transcribed Image Text:Evaluate | 1 x²√x² - 9 dx.
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