Question

Find the distance travelled from t = 0 to t = π of the point moving with position vector equation r equals vector components t cubed, 2 times the sine of t . (20 points)

A) 8.239
B) 19.378
C) 25.693
D) 32.257

Answer 1

you ever going to provide some work of your own on these, and maybe ditch all the aliases?
s = ∫[0,π] √((dx/dt)^2 + (dy/dt)^2) dt

So plug and chug.
I hope your calculator does numerix intergarion.