Originally Posted by

**Sotellme01** I'm having a little trouble with the following problems and I was wondering if someone could help out with either of them.

1) A football has the shape of the solid generated by revolving the region bounded between the x-axis and the parabola

y = (4R(x^2 - 1/4L^2)^2)/L^2 about the x-axis. Find its volume.

disk method ... $\displaystyle \textcolor{red}{V = \pi \int_a^b [f(x)]^2 \, dx}$

2) Find the average value of f(x) = ex + e-x over the interval [ln ½, ln 2]

$\displaystyle \textcolor{red}{f_{avg} = \frac{1}{b-a} \int_a^b f(x) \, dx}$