Mass of the wire of a curve described by $$y = x^2 +1 $$ where $0\le x\le 1$ with density $$ \rho(x,y) = 12x $$
I couldn't get the correct answer for this one.
What I did:
$$ m = \int^{0}_{1}\int^{1}_{x^2} 12 x dy dx $$
that gives me $3$, which is not correct.