User:Foxjwill
Curvy Area
For some curve 
parametrized by 
, the Frenet frame is defined as
. The Curvy Area is then defined as
\[\def\proj{\mathop{\rm proj}\nolimits} A = {\int_{t_1}^{t_2} {\int_{t_1}^{t_2}\left [ {\mathrm{proj}_{W(v)} \left( \mathbf{r}(u)
- \mathbf{r}(v) \right)\right ] du}dv}\] (Error compiling LaTeX. Unknown error_msg)
\[A = {\int_{t_1}^{t_2} {\int_{t_1}^{t_2}\left [ {\mathrm{proj}_{W(v)} \left( \mathbf{r}(u)
- \mathbf{r}(v) \right)\right ] du}dv}\] (Error compiling LaTeX. Unknown error_msg)
limit test thingy
![\[\lim_{x\to a}f(x)\]](http://latex.artofproblemsolving.com/1/1/7/1171ff821a4b63cfcfe6d5c26ea0be52fd50965d.png)
\[\def\proj{\mathop{\rm proj}\nolimits} \proj_W x\] (Error compiling LaTeX. Unknown error_msg)
