Evaluate the integral: 0x = 10 tan (0) 10 sec (0) 100 sec (0) (A) Which trig substitution is correct for this integral? Ox 2 sin(0) Ox= 100 tan (0) 0x= 10 sin(0) 0x = √x² 100 x4 X = - dx (B) Which integral do you obtain after substituting for æ and simplifying? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of 0? + C
Evaluate the integral: 0x = 10 tan (0) 10 sec (0) 100 sec (0) (A) Which trig substitution is correct for this integral? Ox 2 sin(0) Ox= 100 tan (0) 0x= 10 sin(0) 0x = √x² 100 x4 X = - dx (B) Which integral do you obtain after substituting for æ and simplifying? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of 0? + C
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...
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![(D) What is the value of the original integral in terms of \( x \)?
[Input box for answer]
\(+ C\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F678fef96-64be-4096-a74a-c4eb0a405ee7%2F8e66ee29-45ca-4c39-ae33-e69d56619d7e%2F08ygeoh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(D) What is the value of the original integral in terms of \( x \)?
[Input box for answer]
\(+ C\)
![Evaluate the integral:
\[
\int \frac{2 \sqrt{x^2 - 100}}{x^4} \, dx
\]
(A) Which trig substitution is correct for this integral?
- ○ \( x = 2 \sin(\theta) \)
- ○ \( x = 100 \tan(\theta) \)
- ○ \( x = 10 \sin(\theta) \)
- ○ \( x = 10 \tan(\theta) \)
- ○ \( x = 10 \sec(\theta) \)
- ○ \( x = 100 \sec(\theta) \)
(B) Which integral do you obtain after substituting for \( x \) and simplifying?
Note: to enter \( \theta \), type the word theta.
\[
\int \, d\theta
\]
(C) What is the value of the above integral in terms of \( \theta \)?
\[
+ C
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F678fef96-64be-4096-a74a-c4eb0a405ee7%2F8e66ee29-45ca-4c39-ae33-e69d56619d7e%2Fvu9n3g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Evaluate the integral:
\[
\int \frac{2 \sqrt{x^2 - 100}}{x^4} \, dx
\]
(A) Which trig substitution is correct for this integral?
- ○ \( x = 2 \sin(\theta) \)
- ○ \( x = 100 \tan(\theta) \)
- ○ \( x = 10 \sin(\theta) \)
- ○ \( x = 10 \tan(\theta) \)
- ○ \( x = 10 \sec(\theta) \)
- ○ \( x = 100 \sec(\theta) \)
(B) Which integral do you obtain after substituting for \( x \) and simplifying?
Note: to enter \( \theta \), type the word theta.
\[
\int \, d\theta
\]
(C) What is the value of the above integral in terms of \( \theta \)?
\[
+ C
\]
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