Question

A) Find an approximation of the area of the region R under the graph of the...

A) 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

=_____ square units

B) Find an approximation of the area of the region R under the graph of the function f on the interval [-1, 2]. Use n = 6 subintervals. Choose the representative points to be the left endpoints of the subintervals.

f(x)=4-x^2

=_____ square units

Find an approximation of the area of the region R under the graph of the function f on the interval [1, 3]. Use n = 4 subintervals. Choose the representative points to be the right endpoints of the subintervals.

f(x)=7/x

=_____ square units.

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