Erin Lozano

2022-06-19

Find ${\int }_{-1}^{2}\left(5{x}^{3}+7{x}^{2}-9x+4\right)dx$ by Riemann sums

Alisa Gilmore

You will need to use the formulas
$\begin{array}{rl}\sum _{i=1}^{n}1& =n\\ \sum _{i=1}^{n}i& =\frac{n\left(n+1\right)}{2}\\ \sum _{i=1}^{n}{i}^{2}& =\frac{n\left(n+1\right)\left(2n+1\right)}{6}\\ \sum _{i=1}^{n}{i}^{3}& =\frac{{n}^{2}\left(n+1{\right)}^{2}}{4}\end{array}$

Do you have a similar question?