Select function with LaTeX constructs

[BoundaryValueProblems]

The Select function is quite useful for my application, and I have the following construct:

@bind fchoice Select(["Gaussian", "Sin^2(x)", "x^2(l-x)^2"])

This generates a selection box exactly as I specified above. Now, I want to display the last two items using LaTeX, i.e.,

using LaTeXStrings
@bind fchoice Select(["Gaussian", L"\sin^2(x)", L"x^2(l-x)^2"])

However, the above generates entries as "$\sin^2(x)$" and "$x^2(l-x)^2$", with those $ signs, not rendered properly. How can I display them as LaTeX processed symbols, i.e., $\sin^2(x)$ and $x^2(l-x)^2$? Thanks a lot!!