So, my multivariable class has just started line integrals, and I could use a little help with them. The problem I'm currently working on says: Evaluate the line integral, where C is the given curve: [tex]\int\limits_C \! xy \,ds[/tex] [tex]C: x=t^2, y=2t, 0 \le t \le 1[/tex] I realize that, by eliminating the parameter (note really necessary, but just for the sake of understanding), it is the curve [tex]x=(1/4)y^2, 0 \le y \le 2[/tex]. I've managed to get this down to 4 times the integral, from 0 to 1, of (t^3) sqrt(t^2 + 1), but I have no idea where to go from here. Is there something I've majorly screwed up on?