With a programmable calculator or a computer it is possible

Last updated: 7/23/2023

With a programmable calculator or a computer it is possible to evaluate the expressions for the sums of areas of approximating rectangles even for large values of n using looping On a TI u Is command or a For EndFor loop on a Casio use Isz on an HP or in BASIC use a FOR NEXT loop Compute the sum of the areas of approximating rectangles using equal subintervals and righ endpoints for n 10 30 50 and 100 n 10 30 50 100 the region under y 4 cos x the x axis and the lines x 0 and x T 2 Sum of Areas Use these estimates to guess the value of the exact area