Use the given information to find the left- and right-hand Riemann sums for the following function. If necessary, round your answers to five decimal places. f(x)=x2+3 a=−3 , b=6, and n=7

Question

You can round to 5 decimal places - but please provide the whole number for me so I can round it myself.

Answer 1

Define the x points a x_i = a + (b-a)i/n from i = 0 to n (This is general - you are given values of a, b, and n)

The LH Riemann sum is the area of the rectangles of width (b-a)/n and height equal to LH height (or f(x_LH)

LH RS = sum from 1 to n of f(x_i-1) (b-a)/n

RH RS = sum from 1 to n of f(x_i) (b-a)/n