# Calculus equation from paper

I'm trying to understand a paper but it has an equation in it that is lost on me.. I don't think it's very advanced but unfortunately I've never had much experience with this kind of thing.

(From The pitch of short-duration fundamental frequency glissandos, Christophe d'Alessandro et al, [pdf] -- equation below given as (1) on page 2).

$$p = \frac{\int_{t1}^{t2} F0(\tau) d\tau}{\int_{t1}^{t2} d\tau}$$

The accompanying text is:

where $p$ is the pitch perceived, $F0(\tau)$ is the time-varying fundamental frequency, $t1$ and $t2$ are the averaging time limits.

Any pointers?

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It's just a time-average of a function over a time interval $[t_1,t_2]$. –  Raskolnikov Apr 30 '12 at 11:35
Mean of a function at Wikipedia. –  Martin Sleziak Apr 30 '12 at 11:41
I wish you mentioned the paper you saw this in to begin with... –  Ｊ. Ｍ. Apr 30 '12 at 12:02
@J.M. "The pitch of short-duration fundamental frequency glissandos" Christophe d'Alessandro et al murphylibrary.uwlax.edu/digital/journals/JASA/JASA1998/pdfs/… - the equation in question is marked as (1) on page 2. –  Lauren Apr 30 '12 at 12:49
Thank you. Can you please edit that into your question? –  Ｊ. Ｍ. Apr 30 '12 at 12:50