Best thing to do with this is to FOIL it out to a third degree polynomial then integrate it term by term. In standard form the polynomial is [tex] \int\limits {(36-4t+9t^2-t^3}) \, dt [/tex]. We will use C as our constant of integration. The integral now, assuming you know the rules for exponents, is [tex]36t- \frac{4t^2}{2}+ \frac{9t^3}{3}- \frac{t^4}{4}+C [/tex]. Simplifying that we would get [tex]36t-2t^2+3t^3- \frac{1}{4}t^4+C [/tex]. There you go!
