Question

This is an area under the curve problem:
estimate the area of the region between the function and the x-axis on the
given interval using n = 6 and using,
(a) the right end points of the subintervals for the height of the rectangles,(b) the left end points of the subintervals for the height of the rectangles and,
(c) the midpoints of the subintervals for the height of the rectangles.
1. f (x) = x3 - 2x2 + 4 on [1,4]

Answer 1

that was right

Answer 2

we find then width of each rectangle to be 1/2

Answer 3

then we are using right enpoints for our first part: