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

The approximated area of the region is an estimate of the area covered by the region

The approximated area of the region is 12.64 square units

The given parameters are:

--- the sub intervals

--- the function

Start by calculating the length of each partition

So, the partitions are:

Calculate the midpoint of each partition

Calculate f(x) at the midpoints

Represent the function as a definite integral as follows:

Divide

Hence, the approximated area of the region is 12.64 square units

Read more about approximated areas at:

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