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## Homework Statement

f: [0,1] -> Reals, f(x) = 3-x

^{2}

P={0,1/2,1}

Find lower and upper Riemann sums, and approximate the definate integral using them and find the corresponding approximation error.

## Homework Equations

## 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 :)