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Use four rectangles to estimate the area between the graph of the function f(x)= 4/11xand the x-axis on the interval[3, 7] using the right endpoints of the subintervals as the sample points. Write the exact answer. Do not round.

Use four rectangles to estimate the area between the graph of the function fx 411xand the xaxis on the interval3 7 using the right endpoints of the subintervals class=

Respuesta :

First, find the width of the rectangles

7-3 = 4

We ware using 4 rectangles

4/4 =1

delta x = 1

We are using the right side

So the values are at 4,5,6,7

The function evaluated at the right hand side times the width of the rectangle summed for the 4 rectangles

The summation is f(4) *1 + f(5) *1 + f(6) *1 + f(7) *1

4/(11(4)) *1 + 4/(11(5)) *1 + 4/(11(6)) *1 + 4/(11 (7)) *1

4/44 + 4/55 + 4/66 +4/77

29/105

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