Estimate $\int_0^{3}\,f(x) g'(x)\,dx$ if $f(x) = x^{2}$ and $g(x)$ has the values given in the following table. (Note that one way to estimate the integral would be to assume that $g(x)$ is a constant, or a linear function between the two endpoints; generate a more accurate estimate than that by using the provided table of data.)

$\int_0^{3}\,f(x) g'(x)\,dx =$