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If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the...

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 f(x) dx
a

≤ M(b − a).

Use this property to estimate the value of the integral.

π/9 7 tan(3x) dx
π/12
(smaller value)
(larger value)
Math   Advanced-Math   
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