Question

find the average value of f(x) = x^2 on the interval [1, 6]

Answer 1

\[\frac{f(6) -f(1)}{6-1}\]

Answer 2

is it as simple as that? i thought we might have to integrate

Answer 3

how do i do that, please solve it out

Answer 4

surely that answer is finding the average value of a line through 6,f(6) and 1,f(1)

Answer 5

The formula he used is for the mean value theorem, the average value though would be an integral I believe.

Answer 6

Oh sorry, I found the average rate of change.. My mistake!

Answer 7

In this case we need to use:
\[f_{avg} = \frac{1}{6-1}\int\limits_{1}^{6} x^2 dx\]

Answer 8

ok

Answer 9

You are ok from there?

Answer 10

no

Answer 11

Whats the problem?

Answer 12

i keep getting the wrong answer, i thought it was 7 but its not

Answer 13

Post your steps.

Answer 14

i wrote them out on paper, its fine really

Answer 15

\[\frac{1}{5}*(\frac{6^3}{3}-\frac{1^3}{3})\]