# Thread: Archimedes General Parabola Proof

1. ## Archimedes General Parabola Proof

The area of a parabolic arch is equal to the product of the base and the height.

I need to prove the formula for the general parabola $f(x)=c^2-a^2x^2$

Thanks

2. Originally Posted by jwp2987
The area of a parabolic arch is equal to the product of the base and the height.

I need to prove the formula for the general parabola $f(x)=c^2-a^2x^2$

Thanks
What is the base?

What is the height?

The area of the arch is:

$
A(a,c)=\int_{x=x_1}^{x_2} f(x)\ dx
$

where $x_1$ and $x_2$ are the roots of $f(x)=0$

Now show us what you have tried and where you are having difficulties.

CB