Show that for v2 > 2 the mean of the F distribution is v2 / v2

Question:

Show that for v2 > 2 the mean of the F is v2 / v2 – 2, making use of the definition of F in Theorem 8.14 and the fact that for a random variable V having the chi-square with v2 degrees of freedom, E(1/V) = 1/v2 – 2.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...