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