Note that So the total area between x=1 and x=4 is 3/4 and we should choose a so that 1-1/a=3/8, that is a=8/5. Note that the inverse function is g(y)=y-1/2 and that gives the total area plus the area of a certain rectangle: Using these observations, we see that we should choose b such that
Note that the inverse function is g(y)=y-1/2 and that