Evaluate the improper integral or show that it diverges. T/28 tan 14x dx Select the correct choice below and, if necessary, fill in the answer box to complete your choice. T/28 A. tan 14x dx = (Type an exact answer, using T as needed.) B. The improper integral diverges.
Evaluate the improper integral or show that it diverges. T/28 tan 14x dx Select the correct choice below and, if necessary, fill in the answer box to complete your choice. T/28 A. tan 14x dx = (Type an exact answer, using T as needed.) B. The improper integral diverges.
Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Question
![### Evaluating an Improper Integral
Evaluate the improper integral or show that it diverges:
\[
\int_{0}^{\pi/28} \tan(14x) \, dx
\]
#### Solution Options:
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.**
\[
\int_{0}^{\pi/28} \tan(14x) \, dx = \text{[Type an exact answer, using } \pi \text{ as needed.]}
\]
- **B.**
The improper integral diverges.
In this case, the correct choice (option B) indicates that the improper integral diverges.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F918808b3-3bab-4c24-a49a-fe439aaeecc0%2F25725a70-8130-484a-8847-a9394b09a2bf%2F8q8zcw_processed.png&w=3840&q=75)
Transcribed Image Text:### Evaluating an Improper Integral
Evaluate the improper integral or show that it diverges:
\[
\int_{0}^{\pi/28} \tan(14x) \, dx
\]
#### Solution Options:
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.**
\[
\int_{0}^{\pi/28} \tan(14x) \, dx = \text{[Type an exact answer, using } \pi \text{ as needed.]}
\]
- **B.**
The improper integral diverges.
In this case, the correct choice (option B) indicates that the improper integral diverges.
![**Evaluate the integral or state that it diverges.**
\[ \int_{10}^{\infty} \frac{dx}{\sqrt{x}} \]
---
**Select the correct choice below and, if necessary, fill in the answer box to complete your choice:**
**A.**
\[ \int_{10}^{\infty} \frac{dx}{\sqrt{x}} = \boxed{} \]
**B.**
The improper integral diverges.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F918808b3-3bab-4c24-a49a-fe439aaeecc0%2F25725a70-8130-484a-8847-a9394b09a2bf%2F0qt9els_processed.png&w=3840&q=75)
Transcribed Image Text:**Evaluate the integral or state that it diverges.**
\[ \int_{10}^{\infty} \frac{dx}{\sqrt{x}} \]
---
**Select the correct choice below and, if necessary, fill in the answer box to complete your choice:**
**A.**
\[ \int_{10}^{\infty} \frac{dx}{\sqrt{x}} = \boxed{} \]
**B.**
The improper integral diverges.
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