14.For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,5]into n equal subintervals and using the right-hand endpoint for each c. Then take a limit of this sum asn oo to calculate the area under the curve over [0,5]f(x)x+2Write a formula for a Riemann sum for the function f(x) = x- +2 over the interval [0,5].(Type an expression using n as the variable.)The area under the curve over [0,5] issquare units(Simplify your answer.)

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Asked Dec 2, 2019
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14.
For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,5]
into n equal subintervals and using the right-hand endpoint for each c. Then take a limit of this sum as
n oo to calculate the area under the curve over [0,5]
f(x)x+2
Write a formula for a Riemann sum for the function f(x) = x- +2 over the interval [0,5].
(Type an expression using n as the variable.)
The area under the curve over [0,5] is
square units
(Simplify your answer.)
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14. For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,5] into n equal subintervals and using the right-hand endpoint for each c. Then take a limit of this sum as n oo to calculate the area under the curve over [0,5] f(x)x+2 Write a formula for a Riemann sum for the function f(x) = x- +2 over the interval [0,5]. (Type an expression using n as the variable.) The area under the curve over [0,5] is square units (Simplify your answer.)

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Expert Answer

Step 1

a=0 and b=5 

So, width of each interval = 5/n

b-a
5- O
4X =
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b-a 5- O 4X =

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Step 2

Right end point of c_k interval is 5k/n

Right end points are given by 5/n, 10/n , 15/n , ......, 5

I5
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I5

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Step 3

So the right Riemann sum is given by: sum of f(x_k)*del x

Where x_...

5k
2
ΣΙΕ
5k
+2
ΣΙ
ΣΙ
25k2
n2
125k
10
3
η'
η
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5k 2 ΣΙΕ 5k +2 ΣΙ ΣΙ 25k2 n2 125k 10 3 η' η

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