se limit is a "dx" integral

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.1: Numerical Integration
Problem 21E
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Consider the region shown below defined as the region in the first quadrant between the graph off(x) = 2x, y = 0, and x = 1.
2
1.6
1.2
0.8
0.4
0.2 0.4 0.6 0.8 1
Select the Riemann sum whose limit is a "dx" integral computing the area of this region.
Ci
2(1-)4x; where c; is a point in the i interval
i=1
> CixAx; where c; is a point in the ith interval
>(1 – c;)Ax; where c; is a point in the i interval
i=1
2c;Ax; where c; is a point in the in interval
i=1
> C;Ax; where c¡ is a point in the ith
interval
i=1
Wi «Wi -WI :Wi -WI
Transcribed Image Text:Consider the region shown below defined as the region in the first quadrant between the graph off(x) = 2x, y = 0, and x = 1. 2 1.6 1.2 0.8 0.4 0.2 0.4 0.6 0.8 1 Select the Riemann sum whose limit is a "dx" integral computing the area of this region. Ci 2(1-)4x; where c; is a point in the i interval i=1 > CixAx; where c; is a point in the ith interval >(1 – c;)Ax; where c; is a point in the i interval i=1 2c;Ax; where c; is a point in the in interval i=1 > C;Ax; where c¡ is a point in the ith interval i=1 Wi «Wi -WI :Wi -WI
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