Math 155 โ Fall 2002 WORKSHEET 11
NAME: Section:
1. For the function f(x) = 4 โ3xon the interval [1,2], do the following:
(a) Write the Riemann Sum for the partition of [1,2] into the 4 subintervals [1,5
4],
[5
4,3
2], [3
2,7
4], [7
4,2], when the right hand endpoints are selected for the xโ
i.
(b) Use the regular partition of [1,2] into nequal subintervals and select the right
hand endpoints for the xโ
ito write a Riemann Sum for f(x).
(c) Compute the value of the Riemann Sum in part (b) as a function of n, then take
the limit as nโ โ to determine the value of Z2
1
(4 โ3x)dx = lim
nโโ
n
X
i=1
f(xโ
i)โx.
