Computing the line integral of the scalar function over the curve

[DrunkApple]

Homework Statement

f(x,y) = $\sqrt{1+9xy}$, y = $x^{3}$ for 0≤x≤1

Homework Equations

The Attempt at a Solution

I don't even know how to start this problem. I thought about c(t) since that's all I have been doing, but there isn't even c(t). I only recognize domain. Can anyone help me please?

 

[LCKurtz]

Start with parameterization x = t, y = t³ so your curve is given by
$$\vec R(t) = \langle t, t^3\rangle,\, 0\le t\le 1$$