Question

What is the average value of the function on the interval from x=-3 to x=-1

Answer 1

http://online.math.uh.edu/apcalculus/exams/images/AP_AB_version1__85.gif

Answer 2

@amorfide

Answer 3

The average value of the function would be
\(\large \int_{-3}^{-1} g(x)dx \)
Can you do the integration?

Answer 4

i exactly did that does not work

Answer 5

Sorry, the integral should be divided by (-1- (-3))=2 to get the average value.

Answer 6

?

Answer 7

what did you get?

Answer 8

Average value = \( \large \int_a^b f(x)dx / (b-a) \)

Answer 9

28/6

Answer 10

You have the correct answer, but you need to simplify it (14/3) and divide by 2 which comes from (-1-(-3)), the length of interval of integration.

Answer 11

In the end, you should get 7/3.

Answer 12

ya thx

Answer 13

@oldrin.bataku I think there was a mix-up with the substituted limits of integration.

Answer 14

i got it

Answer 15

That's good! Keep it up!