1
$\begingroup$

I've done some research already and discovered that the formula I need to do this is

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

With $a$ and $b$ being the start and end points of the section of curve I want to get the average of.

What I need to know is how I translate a maths $y = ???$ (featuring $x$) function into $f(x)\;dx$, so I can actually work out what the formula I need is.

I gather that $f(x)$ means "a formula of a curve" and that $f(x)\;dx$ means a formula for figuring out the area beneath the curve of the given $f(x)$, but I haven't been able to find a manual for how to translate a given $f(x)$ into the $f(x)\;dx$ that gives it's area.

Can somebody help me with this?

3 Answers 3