# Question About Average Value of a Function on an Interval

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Find the numbers b such that the average value of f(x)=2+6x-3x^2 on the interval [0,b] is equal to 3.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:18 pm ad1c9bdddfhttps://brainmass.com/math/integrals/38980

#### Solution Preview

This is actually an evaluation of the integral

∫f(x)= ∫2+6x-3x^2 dx in the [0, b] ...

#### Solution Summary

The bound of an interval that allows for a certain average value of a function is found. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

$2.49