Draw the Graph Of $f(x)=-x(x-3)$ Over the Interval $[0,3]$

Essay

Draw the graph of $f(x)=-x(x-3)$ over the interval $[0,3]$ . On the graph, show and shade the rectangles that would be used to approximate the area under the curve $f(x)$ over $[0,3]$ by the right rectangle approximation method using 6 subintervals. Compute the estimation.