Question: Consider the function: f(x) = x3 (a) Take the integral and calculate (b) Now consider splitting the interval [0, 1] into 4 pieces, where you

Consider the function:
f(x) = x3
(a) Take the integral and calculate

(b) Now consider splitting the interval [0, 1] into 4 pieces, where you choose the xi. They may or may not be equally spaced. Calculate the following sums numerically:

Consider the function:
f(x) = x3
(a) Take the integral and calculate
(b)

f(x) dx f (Xi) (Xi-Xi-1) i=1 i=1

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