## anonymous one year ago Find the average value of the function over the given interval. (Round your answer to four decimal places.) f(x) = 4 − x2, [−2, 2]

1. Compassionate

@Hero , @Satellite7 , @kropot72

2. zzr0ck3r

The average value of $$f$$ on the interval $$[a,b]$$ is given by $\frac{1}{b-a}\int_a^bf(x)dx$

3. zzr0ck3r

What is the integral of the function?

4. zzr0ck3r

without the constant...

5. anonymous

yeah I've gotten the same answer like a million times but it says its wrong the integral is (-2,2)

6. anonymous

why did you switch 4x & $x ^{3}$

7. zzr0ck3r

$\dfrac{1}{2-(-2)}[4x-\frac{1}{3}x^3]_{-2}^2$

8. zzr0ck3r

sorry brain old

9. anonymous

okay so yeah i did that.. will you calculate it for me? see what you get?

10. anonymous

I got 2.6665

11. zzr0ck3r
12. anonymous

OH MY WORD hahaha there's a part b though too

13. anonymous

Just kidding, I got it :)