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

1. ksaimouli
2. ksaimouli

@amorfide

3. mathmate

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

4. ksaimouli

i exactly did that does not work

5. mathmate

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

6. ksaimouli

?

7. mathmate

what did you get?

8. mathmate

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

9. ksaimouli

28/6

10. mathmate

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.

11. mathmate

In the end, you should get 7/3.

12. ksaimouli

ya thx

13. mathmate

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

14. ksaimouli

i got it

15. mathmate

That's good! Keep it up!