Approximate ∫1
0 x2dx using (a) left endpoints, (b) right endpoints, (c) midpoints and
n = 1000 partitioning intervals. Explain what technology you used in the estimate. Fill
out this table. type approximation error
lef t
right
midpoint
(2) Let F (x) = ∫x
0 sin t2dt. Sketch an approximate graph of F on the interval [0, √π] by
filling out this table and then plotting the corresponding points.
x ≈F (x)
0
0.5
1
1.5√π
To fill out each field in this table using the midpoint approximation with n = 100
intervals. Explain what technology you used.