Chapter 21, Problem 12P

Determine the mean value of the function

$f\left(x\right)=-46+45x-14x^2+2x^3-0.075x^4$

between $x=2$ and 10 by

(a) Graphing the function and visually estimating the mean value,

(b) Using Eq. (PT6.4) and the an alytical evaluation of the integral, and

(c) Using Eq. (PT6.4) and a five-segment version of Simpson's rule to estimate the integral. Calculate the relative percent error.