NT Following definite integral? ow: 2√3 4 t√√49t² - 49 dt AS

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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What is the value of the following definite integral?

The text presents a mathematical problem involving a definite integral. Here is the transcription:

"Evaluate the following definite integral:

\[
\int_{\frac{2\sqrt{3}}{3}}^{2} \frac{4}{t \sqrt{49t^2 - 49}} \, dt
\]

Below:"

Explanation of the integral:
- The integral is evaluated from \(\frac{2\sqrt{3}}{3}\) to 2.
- The integrand is \(\frac{4}{t \sqrt{49t^2 - 49}}\).
- The problem involves calculating the definite integral over the specified limits.
Transcribed Image Text:The text presents a mathematical problem involving a definite integral. Here is the transcription: "Evaluate the following definite integral: \[ \int_{\frac{2\sqrt{3}}{3}}^{2} \frac{4}{t \sqrt{49t^2 - 49}} \, dt \] Below:" Explanation of the integral: - The integral is evaluated from \(\frac{2\sqrt{3}}{3}\) to 2. - The integrand is \(\frac{4}{t \sqrt{49t^2 - 49}}\). - The problem involves calculating the definite integral over the specified limits.
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