Explanation:
The average value of a function over a given interval, in this case between two and six, is given by the following formula:
[tex]\begin{gathered} AV\text{ = }\frac{1}{b-a}\int_2^63x^4\text{dx } \\ =\frac{1}{4}[\frac{3(6)^5}{5}-\frac{3(2)^5_}{5}] \\ =1161.6 \end{gathered}[/tex]
Answer: 1161.6
