Question: Let r(t) be the rate, in kg/sec, at which a spaceship burns fuel at time t sec. Assume that r(t) > 0 and r (t) h be the time at which half the fuel has burned and Q be the initial amount of fuel in kg. State which of the following two expressions is larger, or that they are equal, or that there is not enough information to decide.
0∫0.5T r(t) dt and 0.5T∫T r(t) dt