# Thread: approximating integrals

1. ## approximating integrals

Draw the graph of f(x) = sin(x^2/2) in the viewing rectangle [0,1] by [0,0.5] and let I = the integral of f(x) from 0 to 1.

a) use the graph to decide whether L2, R2, M2, T2 underestimate or overestimate I.

what is the viewing rectangle?
for a) do i compute the left point with n = 2? and then compare it to I, which i do on the calculator?

2. Originally Posted by xfyz
Draw the graph of f(x) = sin(x^2/2) in the viewing rectangle [0,1] by [0,0.5] and let I = the integral of f(x) from 0 to 1.

a) use the graph to decide whether L2, R2, M2, T2 underestimate or overestimate I.

what is the viewing rectangle?
for a) do i compute the left point with n = 2? and then compare it to I, which i do on the calculator?
"Viewing Rectangle" -- This appears to be a Graphing Calculator assignment. Your operating instructions should cover this topic. It will be specific to your particular calculator.

For n = 2, the first left point is x = 0. The second is x = 1/2.