For the function given below, find a formula for the riemann sum obtained by dividing the interval [0,3] into n equal subintervals and using the right-hand endpoint for each c[subscript]k. then take a limit of this sum as n approaches infinity to calculate the area under the curve over [0,3].

f(x)=2x^2

We divide [0, 3] into subintervals,

so that the right endpoint of each subinterval is given according to the arithmetic sequence,

for .

The Riemann sum is then

where

With , we have

Recall that

The area under the curve over the interval [0, 3] is then

mean, 40.6

step-by-step explanation:

h= 12 inches

step-by-step explanation: