Question: If m f ( x ) M for a x b , where m is the absolute minimum and M is the absolute maximum of

If
m f(x) M
for
a x b,
where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then
m(b a)
ba
f(x) dx M(b a).
Use this property to estimate the value of the integral.
3(x33x +8) dx0

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