# An arc length integral in 2D

Consider the vector valued %%vec(p)(t) = langle cos(3t), sin(4t) rangle%% over the interval %%[0,2pi]%%.

- Provide an image of the path parameterized by %%vec(p)(t)%%.
- Type out an integral that represents the arc length of that path.
- Find a numerical estimate of your integral.

## Comments

%%int_0^(2pi)sqrt(16cos(4t)^2+9sin(3t)^2)dt%%

%%~~21.24%%