# Thread: Distance Along A Curve

1. ## Distance Along A Curve

Find the distance between the points (1,1) and (3,9) along the curve $\displaystyle y=x^2$.

I'm at a complete loss as to what I need to do with the $\displaystyle y=x^2$. I can't find ANY information on it in the chapter that it's in in my book.

2. Originally Posted by BeSweeet
Find the distance between the points (1,1) and (3,9) along the curve $\displaystyle y=x^2$.

I'm at a complete loss as to what I need to do with the $\displaystyle y=x^2$. I can't find ANY information on it in the chapter that it's in in my book.
sure this is a precalculus problem?

it sounds like an arclength problem which would involve integral calculus.

3. That's the thing... I don't really know.

4. Originally Posted by BeSweeet
That's the thing... I don't really know.
what course are you taking?

5. It's calculus, but I figured I should post it in pre-calculus, since it seems like it would be the sort of problem that you'd find in pre-calculus...

6. Originally Posted by BeSweeet
It's calculus, but I figured I should post it in pre-calculus, since it seems like it would be the sort of problem that you'd find in pre-calculus...
arclength involves an integral (not precalculus) ...

$\displaystyle S = \int_a^b \sqrt{1 + [f'(x)]^2} \, dx$

7. Wow... Now I'm even more lost. I don't know what an 'integral' is. This problem came from 1.1 in my particular book, yet there's no sort of example problem that even looks like it.

I'm skipping this stupid question. Can't stand this ****.