Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc73760aa-6afb-4c69-9673-e8df16212140%2F424c4d0c-13ac-479e-bca8-e31c901ecdf6%2F7ru5qxj_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc73760aa-6afb-4c69-9673-e8df16212140%2F424c4d0c-13ac-479e-bca8-e31c901ecdf6%2F7nq4inf_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate
|
1
x²√x²
- 9
dx.
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