Problem 9E

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 use the 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 right endpoints for n = 10, 30, 50, and 100. Then guess the value of the exact area. The region under y=x4 from 0 to 1

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