Question

Find the average value of f(x)=ln x on the interval [1,10] . f_{a v g}=ln(c)

Answer 1

The average value of f(x)=ln x on the interval [1,10] is ln(c).

Step-by-step explanation:

The average value of a function over an interval is given by the formula:

favg = (1/(b-a)) * Integral(a to b) f(x) dx

For the function f(x) = ln x over the interval [1,10], we can calculate the average value as follows:

1. Calculate the definite integral of f(x) = ln x over the interval [1,10].
2. Divide the result by the difference between the upper and lower limits of the interval.
3. The average value of f(x) = ln x over the interval [1,10] is ln(c), where c is the result of the previous calculation.