How to Calculate the Mean Y Value on a Curve?

[dan greig]

how do i calculate the mean y value on a curve?

 

[daveb]

Is the function integrable? Do you know the formula for the average value of a function?

 

[dan greig]

the curve is,

y=10/x^2

i have already found the area under the curve between two points by changing this to,

10x^-2

no i don't know the formula?

 

[EbolaPox]

Average value of an integrable function on the closed interval [a,b] can be found via

$$\frac {1}{b-a} \int_{a}^{b} f(x) dx$$