Question

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
b
m(b − a) ≤ f(x) dx ≤ M(b − a).
a
Use this property to estimate the value of the integral.
9
4Sqrt(x)dx
0
Correct: Your answer is correct.
(smaller value)
Incorrect: Your answer is incorrect.
(larger value)

Answer 1

just do a direct substitution
0 <= 4√x <= 4√9
0 <= 4√x <= 12 on [0,9]

so,

0*9 <= ∫4√x <= 12*9