# An arc length integral in 2D

edited February 11 in Problems

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.

• edited February 13

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

~~21.24