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.