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

Question

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

compassionate · Answer

@Hero , @Satellite7 , @kropot72

zzr0ck3r · Answer

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

zzr0ck3r · Answer

What is the integral of the function?

zzr0ck3r · Answer

without the constant...

anonymous · Answer

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

anonymous · Answer

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

zzr0ck3r · Answer

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

zzr0ck3r · Answer

sorry brain old

anonymous · Answer

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

anonymous · Answer

I got 2.6665

zzr0ck3r · Answer

anonymous · Answer

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

anonymous · Answer

Just kidding, I got it :)