f: [0,1] -> Reals, f(x) = 3-x2
Find lower and upper Riemann sums, and approximate the definate integral using them and find the corresponding approximation error.
The Attempt at a Solution
So I tried finding the upper Riemann sum
Spf = 3(1/4) + 2(1/2) = 19/8
and the lower:
spf = 3(1/2) + (3-1/4)(1/2) = 23/8
Is this correct? If so, how do I approximate the definate integral? Do I just pick the upper or lower sum and use that as my approximation? And how would I find the error?
Any help is appreciated :)