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

Eelco asked Oct 19, 2023

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Eelco asked Oct 19, 2023

by Eelco

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11 votes

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

Anders Kindberg answered Oct 25, 2023

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