This is my first task in this subject and I'm a bit stuck.
A thin wire is shaped with $f(x) = x^2$ where $2 \le x \le 3$. Find the mass of the wire when density $\rho(x)=x$.
So I've done some reading and it seems like I need to use the formula for arclength. I'm not sure why, so my question is
Why should I use the formula to find bowlength? How do I solve these kind of problems?