Let f(x) = x3, and compute the Riemann sum of f over the interval [6, 7], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.)
hi there
Area you able to help with my math problem?
@jim_thompson5910
@phi
Reimann sums using how many sub-divisions?
First one is n=2 then n=5 then n=10
step 1) find h \[h={b-a\over n}\] step 2) for k= 1 through n, a) find \(x_k=a+{k\over2}h\) b) find \(f(x_k)\) step 3) Reimann approximation is given by: \[I=h\sum f(x_k)\\ I\approx h\times[f(x_1)+f(x_2)+\cdots f(x_n)] \]
delta x: 1/2 (also known as the width) so I think the x-values for n=2 are 8 and 8.5, is that correct? Then it would be the height times the width for the area
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