# (Calc 3) Finding mass of a wire using line integral

1. Apr 28, 2013

### NWeid1

1. The problem statement, all variables and given/known data
Find the mass of a wire in the shape of the parabola y=x2 for $1 \leq x\leq2$ and with density p(x,y)=x.

2. Relevant equations

3. The attempt at a solution

I just want to make sure I am setting this integral up right. Here is what I did:

I parameterized the equation to x=t, y=t2
and then got $\int xds$ from 1 to 2.
then I set ds = $\sqrt{1+4t^2}*dt$

so I would have

$\int t*\sqrt{1+4t^2}dt$ from 1 to 2. Correct, or no?

Last edited: Apr 28, 2013
2. Apr 28, 2013

Yes.