# Find the average value fave of the function f on the given interval.f(t) = 6te−t2, [5, 7]fave =

## Question

## Solution 1

The average value of a function f(x) on the interval [a, b] is given by the formula:

fave = 1/(b - a) * ∫ from a to b f(x) dx

Here, f(t) = 6te^(-t^2), and the interval is [5, 7].

So, we need to compute the integral of f(t) from 5 to 7 and divide by the length of the interval, which is 7 - 5 = 2. Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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