Mathematics, 16.10.2019 19:30 unknown54321
Find an approximation of the area of the region r under the graph of the function f on the interval [0, 2]. use n = 5 subintervals. choose the representative points to be the midpoints of the subintervals.
f (x) = x^2 + 5
Answers: 3
![\mathbf{Interval = [0,2]}](/tpl/images/0325/8989/d4e85.png)
--- the sub intervals
--- the function
![\mathbf{P = [0,\frac 25]\ u\ [\frac 25,\frac 45]\ u\ [\frac 45,\frac 65]\ u\ [\frac 65,\frac 85]\ u\ [\frac 85,2]}](/tpl/images/0325/8989/9d549.png)
![[0,2]](/tpl/images/0325/8989/29791.png)
![\left[0,\dfrac25\right]\cup\left[\dfrac25,\dfrac45\right]\cup\left[\dfrac45,\dfrac65\right]\cup\left[\dfrac65,\dfrac85\right]\cup\left[\dfrac85,2\right]](/tpl/images/0325/8989/2647c.png)
at the midpoints: 
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Find an approximation of the area of the region r under the graph of the function f on the interval...
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