I don't know is there is a special rule or trick for this but I am trying to find
$\int_{0}^1(x^3-3x^2) dx$
I know that $\dfrac{1}{n}$ is the delta $x$ and this is where I do not know what to do next. I think that I want it to look something like
$\lim \sum \dfrac{1}{n} \dfrac{k^{3}}{n} - n \dfrac{3k^{2}}{n}$ But I am not sure what to do with coefficients yet.
I end up with something that looks like $\dfrac{3}{2} + 2n + \dfrac{2n}{6} + \dfrac{1}{2}$ which doesn't make sense since I have no many infinities.