In this figure, a function [math]f[/math] and an interval [math]\left[a,b\right][/math] are given, you are asked to find the Riemann sum for [math]f[/math] over [math]\left[a,b\right][/math]. [br][br]Recall, if the interval [math]\left[a,b\right][/math] is divided into [math]n[/math] subintervals of equal width and sample points [math]c_{1,}c_{2,}...,c_n[/math] are chosen within each subinterval, then the Riemann sum for [math]f[/math] is [math]\sum_{k=1}^nf\left(c_k\right)\Delta x[/math] where [math]\Delta x=\frac{b-a}{n}[/math]. [br][br]Click the "New Problem" button to generate a new problem, enter the summand of the Riemann sum in the input box, then click "Check" to see if you are correct.