Hi Alan and Olie96,
I just put this through Wolfram|Alpaha,
http://www.wolframalpha.com/input/?i=y%3D3.7%5E%280.6x%5E2%29
Now it is basically just a flatterned parabola shape. So can you not find an indefinite integral for it?
(a and b are constants of course)
$$\int a^{bx^2} \;dx$$
I suppose if you want a volume of revolution the relevant indefinite integral would be
$$\\\pi\int (a^{bx^2})^2\;dx\\\\
=\pi\int a^{2bx^2}\;dx$$