Suppose f(x) = (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(x) on the interval 3 < x < 5. The value of this left endpoint Riemann sum is , and it is an ? v the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 5. I1 2 3 4S678 Left endpoint Right endpoint (b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the interval 3 < a < 5. The Riemann sum Riemann sum value of this right endpoint Riemann sum is and it is an ? v the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 5.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose f(x) :
9.
(a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(x) on the interval 3 < x < 5. The value
of this left endpoint Riemann sum is
and it is an
?
v the area of the region enclosed by y = f(x),
the x-axis, and the vertical lines x = 3 and x = 5.
1 2 3 4 5 6 7 8
1 2 3 4 5 6 7 8
Left endpoint
Right endpoint
(b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the interval 3 < x < 5. The
Riemann sum
Riemann sum
value of this right endpoint Riemann sum is
and it is an
?
v the area of the region enclosed by
y = f(x), the x-axis, and the vertical lines x = 3 and x = 5.
Transcribed Image Text:x2 Suppose f(x) : 9. (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f(x) on the interval 3 < x < 5. The value of this left endpoint Riemann sum is and it is an ? v the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 5. 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 Left endpoint Right endpoint (b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for f(x) on the interval 3 < x < 5. The Riemann sum Riemann sum value of this right endpoint Riemann sum is and it is an ? v the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 3 and x = 5.
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