Use Riemann sums and a limit to compute the exact area under the curve.
Y = 4x2 – x on (a) [0, 1]; (b) [-1, 1] ; (c) [1,3]
I have already done a and verified it is correct, however b and c I am unsure of. This is as far as I get on b, then I am not sure what to do next....
∆x = 2/n, We use right endpoints as evaluation points, xi = -1 + 2i/n
(my small amount of work is shown in the picture I attached.)
Also, I worked this problem out on paper, but the end result seemed to way off, so I started over and only managed to confuse myself.
I guess I am really getting confused in the part where xi = -1 + 2i/n, where usually it is a single term such as i/n. Anyways any help on this matter is greatly appreciated!