Compute the upper riemann sum for the given function f (x=x^2 over the interval x?[?1,1] with respect to the partition p=[?1,?14,12,34,1].

We are given the function

f (x) = x^2

We are asked for the Upper Reimann sum over the interval [-1, 1]

with the partition

p = [-1, - 1/4, 1/2, 3/4, 1]

The Upper Reimann sum is

(-1/4 - (-1)) (-1) ² + (1/2 - (-1/4)) (-1/4) ² + (3/4 - 1/2) (1/2) ² + (1 - 3/4) (3/4) ² = 1

The answer is 1