Use a midpoint sum with 10 sub-intervals to estimate the area between *f* (*x*) = *x*^{2} and the *x*-axis on [0,1].

Answer

If we split [0,1] into 10 sub-intervals we get sub-intervals of length .1. We need to know the following values of *f*:

We add them all up to get 3.325, and then multiply by 0.1 to get our estimate:

3.325(0.1) = 0.3325.