Is there a way to convert TeX math notation to a Unicode string? For example, converting \int x^2 dx into something like:

⌠      
⎮  2   
⎮ x  dx
⌡

or for:

\begin{bmatrix}
   a & b \\
   c & d
\end{bmatrix}

would be rendered like:

⌈ a b ⌉
⌊ a b ⌋