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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![The problem asks us to use the formula for the definite integral of the function \(x\) from \(a\) to \(b\):
\[
\int_a^b x \, dx = \frac{b^2}{2} - \frac{a^2}{2}
\]
where \(a < b\), to evaluate the integral:
\[
\int_2^{\sqrt{7}} x \, dx.
\]
There is a prompt to find the result of this integral and type an exact answer in simplified form.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F480f989f-2af6-48a5-ab4d-ef9ac310c5f5%2F2f71d260-bd87-430f-b51a-098cf76d1b77%2F6vfe6vk_processed.png&w=3840&q=75)
Transcribed Image Text:The problem asks us to use the formula for the definite integral of the function \(x\) from \(a\) to \(b\):
\[
\int_a^b x \, dx = \frac{b^2}{2} - \frac{a^2}{2}
\]
where \(a < b\), to evaluate the integral:
\[
\int_2^{\sqrt{7}} x \, dx.
\]
There is a prompt to find the result of this integral and type an exact answer in simplified form.
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