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.

Comments

  • edited February 13

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

    %%~~21.24%%

    mark
Sign In or Register to comment.