Using rectangles whose height is given by the value of the function at the midpoint of the rectangles base (the midpoint rule); estimate the area under the graphs of the following functions, using first two and then four rectangles.
f(x)=8-x^2 between x=-4 and x=4.© BrainMass Inc. brainmass.com October 10, 2019, 2:39 am ad1c9bdddf
Delta x = (b-a)/n = (4 -(-4))/4 = 2
Four intervals will be [-4, -2], [-2,0], ...
Midpoint Rule of rectangles is reiterated in the solution.