[QUOTE=Nichelle14]Let f(x) = 1/x^2 when x is between [2,3)

= 2 when x is between [3,4]

a.) prove that f(x) is Riemann integrable on [2,4].

Because it is countinous on this interval.

I have no idea what you mean by that. Perhaps they ask to find some partion which statisfies the Riemann integral?Originally Posted byNichelle14

You have,b.) find a continuous funciton, F(x), statisfying F(x) = integral of f(t)dt from 2 to x on [2,4]

Thus,