y
   ∫(g(p))-2 dp = g(y), 
    0
and:
     4
   ∫(g(p))-2 dp = (12)1/3.
    0

Both the problem and this solution are very nice. I like integrals and yet could not do this exercise because I forgot that one can differentiate a definite integral.

BTW, the problem asks for g(72). After substituting x=72 on the general solution found by Daniel, the result is 6.

Posted by Kurious on 2007-12-25 10:12:40