Question

Find the average value of the function f(x) = 3x ^ 4 on the interval 2 <= x <= 6

Answer 1

Explanation:

The average value of a function over a given interval, in this case between two and six, is given by the following formula:

`\begin{gathered} AV\text{ = }(1)/(b-a)\int_2^63x^4\text{dx } \\ =(1)/(4)[(3(6)^5)/(5)-(3(2)^5_)/(5)] \\ =1161.6 \end{gathered}`

Answer: 1161.6