Question

(1) Do the following

Estimate the area under the graph of f(x) = 5 cos(x) from x = 0 tox = p/2. (Round the answer to four decimal places.)
(a) Use four approximating rectangles and right endpoints.
R4 =

Is your estimate an underestimate or an overestimate?

[ ]underestimate
[ ]overestimate

(b) Use four approximating rectangles and left endpoints.
L4 =

Is your estimate an underestimate or an overestimate?

[ ]underestimate
[ ]overestimate


(2) Do the following. (Round your answers to four decimalplaces.)
(a) Estimate the area under the graph of f(x) = 9 + 4x2 from x = -1to x = 2 using three rectangles and right end-points.
R3 =

Improve your estimate by using six rectangles.
R6 =

(b) Repeat part (a) using left endpoints.
L3 =
L6 =

(c) Repeat part (a) using midpoints.
M3 =
M6 =