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
![**Problem Statement:**
Integrate the function. Use trigonometric substitution.
\[
\int_0^1 \frac{dx}{\sqrt{9 - x^2}}
\]
**Answer Choices:**
- \( \frac{1}{3} \sin^{-1} \frac{1}{3} \)
- \( \sin^{-1} \frac{1}{3} \)
- \( 3 \cos^{-1} \frac{1}{3} \)
- \( \cos^{-1} \frac{1}{3} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7da000f5-964a-4988-803f-c8092a11ccf6%2Ff1a6ab8d-75e3-4d36-9fad-6d2590b8c682%2Fzq4vv5f_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Integrate the function. Use trigonometric substitution.
\[
\int_0^1 \frac{dx}{\sqrt{9 - x^2}}
\]
**Answer Choices:**
- \( \frac{1}{3} \sin^{-1} \frac{1}{3} \)
- \( \sin^{-1} \frac{1}{3} \)
- \( 3 \cos^{-1} \frac{1}{3} \)
- \( \cos^{-1} \frac{1}{3} \)
Expert Solution
Step 1
The trigonometric substitution used is x=3 sin
Step by step
Solved in 2 steps with 1 images
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