The area of the region between the \(x-\) axis and the graph \(f(x)=x^{3}-x^{2}-3x,-1\leq x\leq 2\) is

\(\frac{37}{12}\) \(\frac{27}{12}\) \(\frac{5}{12}\) \(\frac{32}{12}\)

\(\frac{27}{12}\)

\(\begin{aligned}\text{Area}&=\int_{-1}^{2}(x^{3}-x^{2}-2x)dx\\ &=\frac{27}{12}\end{aligned}\)