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.)

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anonymous · Answer

hi there

anonymous · Answer

Area you able to help with my math problem?

anonymous · Answer

@jim_thompson5910

anonymous · Answer

@phi

anonymous · Answer

Reimann sums using how many sub-divisions?

anonymous · Answer

First one is n=2 then n=5 then n=10

anonymous · Answer

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:
$$I=h\sum f(x_k)\
I\approx h\times[f(x_1)+f(x_2)+\cdots f(x_n)]
$$

anonymous · Answer

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