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) ≤
b

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) ≤ f(x) dx ≤ M(b − a).
f(x) dx ≤ M(b − a).
Use this property to estimate the value of the integral.
8
(10x − 20 sin(x)) dx
7