2    Use the definition

to show that if $f\left(x\right)=x^3$ then $f^{\prime }\left(x\right)=3x^2$.

8    Find:

a   $\int x^2(2x-1)dx$        b   $\int \frac{{(x-2)}^2}{\sqrt{x}}dx$        c   $\int {(1-x)}^{3}dx$

9    Evaluate:

a   ${\int }_0^1{x}^{2}dx$        b   ${\int }_0^2(x^2-x)dx$        c   ${\int }_4^9\sqrt{x}dx$