[Maxima] "factoring" across an integration

[steve@horne.homelinux.net]

        Hello All --
I am trying to simplify some expressions involving definite integrals.
Is there an incantation that will cause maxima to change (simplify?)
this expression

 r(1) = 'INTEGRATE(u(t),t,0,1)-%E^-1*'INTEGRATE(%E^t*u(t),t,0,1);

into this one:

 r(1) = 'INTEGRATE( (1 - %E^(t-1) ) * u(t),t,0,1);

That is, combine the integrals into one, by "factoring" out u(t)?


                                    Thanks,
                                                Steve