How do you find the Riemann sum of #f(x)=x^3# , -1<=x<=1, if the partition points are -1, -0.5, 0, 0.5, 1 and the sample points are -1, -0.4, 0.2, 1?
1 Answer
Aug 27, 2015
There are
Explanation:
So we need:
# = [f(-1) + f(-0.4) + f(0.2) + f(1)]*0.5#
# = [(-1)^3 + (-0.4)^3 + (0.2)^3 + (1)^3]*0.5#
# = [-1 - 0.064 + 0.008 + 1]*0.5#
# = (-0.56)(0.5) = -0.28#
