Evaluate the integral ntegral = * √(-10 + t) 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 Integral**

We are given the task to evaluate the following integral:

\[
\int_{1}^{4} \sqrt{t(-10 + t)} \, dt
\]

**Integral =** [Input Field] 

In this expression, the integral is evaluated from the lower limit \( t = 1 \) to the upper limit \( t = 4 \). The function inside the integral, \( \sqrt{t(-10 + t)} \), indicates that we need to work with the square root of the product of \( t \) and \( (-10 + t) \). Fill in the value of the integral in the input field provided.
Transcribed Image Text:**Evaluate the Integral** We are given the task to evaluate the following integral: \[ \int_{1}^{4} \sqrt{t(-10 + t)} \, dt \] **Integral =** [Input Field] In this expression, the integral is evaluated from the lower limit \( t = 1 \) to the upper limit \( t = 4 \). The function inside the integral, \( \sqrt{t(-10 + t)} \), indicates that we need to work with the square root of the product of \( t \) and \( (-10 + t) \). Fill in the value of the integral in the input field provided.
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