Find an expression for the area of the region under the graph of f(x) = 25 on the interval [1, 6]. (Use right hand endpoints as sample points.)

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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Find an expression for the area of the region
under the graph of
f(x) = 15
on the interval [1, 6].
(Use right hand endpoints as sample points.)
1.
area =
2.
area =
3.
area =
4.
-
5.
6.
G+¹)3=
area = lim
nx
lim
nx
area =
lim
n-x
area lim
nx
Σ (1+6) ³ 5
lim
n-x
Σ (¹ + $) ³ º
i=1
Σ(1+)
i=1
Σ(+5)
·Ź (1 + i) ³00
3
Transcribed Image Text:Find an expression for the area of the region under the graph of f(x) = 15 on the interval [1, 6]. (Use right hand endpoints as sample points.) 1. area = 2. area = 3. area = 4. - 5. 6. G+¹)3= area = lim nx lim nx area = lim n-x area lim nx Σ (1+6) ³ 5 lim n-x Σ (¹ + $) ³ º i=1 Σ(1+) i=1 Σ(+5) ·Ź (1 + i) ³00 3
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