Given f(x)=2x-x^2, estimate the area under the curve from x=0 to x=3 using 6 rectangles and right end points. Sketch the graph and the rectangles.

Question

Given f(x)=2x-x^2, estimate the area under the curve from x=0 to x=3 using 6 rectangles and right end points. Sketch the graph and the rectangles.

Answer 1

∆x = 3/6 = 1/2

so the area is approximated by
1/2 (f(1/2) + f(1) + f(3/2) + f(2) + f(5/2) + f(3))
so now plug and chug

there are handy Riemann Sum calculators online to check your work.
>wink wink<