2. That integral has a little trick: the difficulty is that you have $(x-2)^7$, which might be difficult to integrate, so do this:
Perform the change of variables $u=x-2$ and you will transform your integral into $\int_{-2}^{0} (u+2)u^7 du = \int_{-2}^{0} u^8+2u^7 du$ which is much more workable...