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.