38. 1 50 So (3t - 1) 5⁰ dt

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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Evaluate the definite integral. *Please use handwriting not typing, I understand it better that way, thank you*
The image shows a mathematical problem often found in calculus, specifically dealing with integral calculus. The problem is numbered "38" and is enclosed in a circle. The integral to evaluate is:

\[
\int_{0}^{1} (3t - 1)^{50} \, dt
\]

This expression represents a definite integral where the function \((3t - 1)^{50}\) is integrated with respect to \(t\) from the lower limit of 0 to the upper limit of 1. This type of problem typically requires the use of techniques such as substitution or integration by parts to solve.
Transcribed Image Text:The image shows a mathematical problem often found in calculus, specifically dealing with integral calculus. The problem is numbered "38" and is enclosed in a circle. The integral to evaluate is: \[ \int_{0}^{1} (3t - 1)^{50} \, dt \] This expression represents a definite integral where the function \((3t - 1)^{50}\) is integrated with respect to \(t\) from the lower limit of 0 to the upper limit of 1. This type of problem typically requires the use of techniques such as substitution or integration by parts to solve.
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