x2 + 2x on the interval [3, 7]. 5 The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) and it is an The value of this right endpoint Riemann sum is 18.9 there is ambiguity + the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 7. %3D -1 х * + 2x on [3,7] Right endpoint Riemann sum for y Using the left and right Riemann sums above, we definitively conclude that x2 + 2x dx < 21.667 5 21.667 x2 + 2x dx < 5 x2 + 2x dx < 5 3 Hint: For the last integral, you should consistently choose either to underestimate or overestimate the area. This may require that you use the left Riemann sum for some x-intervals and the right Riemann sum for other x-intervals.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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x2
+ 2x on the interval [3, 7].
5
The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x)
and it is an
The value of this right endpoint Riemann sum is
18.9
there is ambiguity + the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 7.
%3D
-1
х
* + 2x on [3,7]
Right endpoint Riemann sum for y
Transcribed Image Text:x2 + 2x on the interval [3, 7]. 5 The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) and it is an The value of this right endpoint Riemann sum is 18.9 there is ambiguity + the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 7. %3D -1 х * + 2x on [3,7] Right endpoint Riemann sum for y
Using the left and right Riemann sums above, we definitively conclude that
x2
+ 2x dx < 21.667
5
21.667
x2
+ 2x dx <
5
x2
+ 2x dx <
5
3
Hint: For the last integral, you should consistently choose either to underestimate or overestimate the area. This may
require that you use the left Riemann sum for some x-intervals and the right Riemann sum for other x-intervals.
Transcribed Image Text:Using the left and right Riemann sums above, we definitively conclude that x2 + 2x dx < 21.667 5 21.667 x2 + 2x dx < 5 x2 + 2x dx < 5 3 Hint: For the last integral, you should consistently choose either to underestimate or overestimate the area. This may require that you use the left Riemann sum for some x-intervals and the right Riemann sum for other x-intervals.
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