Work through the following steps to evaluate (2 + 7)dz. a) We know that a = and b = %3D b) Using n subintervals, Ar = c) Assume that the sample points in each interval are right endpoints. Find the following sample points: x2 = T3 = In general, the ith sample point is x; = Note: your answer will be an expression in terms of i and n. d) Now find the sum of the areas of n approximating rectangles.Note: your answer will be an expression in terms of n. f(z.)Az = %3D i=1 00

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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Work through the following steps to evaluate
(2? + 7)dx.
a) We know that a =
and b =
b) Using n subintervals, Ar =
c) Assume that the sample points in each interval are right endpoints. Find the following sample points:
x2 =
T3 =
In general, the ith sample point is x; =
Note: your answer will be an expression in terms of i
and n.
d) Now find the sum of the areas of n approximating rectangles.Note: your answer will be an expression in
terms of n.
Ef(z1)Az =
i=1
e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity.
lim
f(r;)Ax =
Transcribed Image Text:Work through the following steps to evaluate (2? + 7)dx. a) We know that a = and b = b) Using n subintervals, Ar = c) Assume that the sample points in each interval are right endpoints. Find the following sample points: x2 = T3 = In general, the ith sample point is x; = Note: your answer will be an expression in terms of i and n. d) Now find the sum of the areas of n approximating rectangles.Note: your answer will be an expression in terms of n. Ef(z1)Az = i=1 e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity. lim f(r;)Ax =
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