Question

Consider the parametric curve given by the equations
x(t)=t2+36t−21
y(t)=t2+36t+14
How many units of distance are covered by the point P(t) = (x(t),y(t)) between t=0, and t=7 ?

Answer 1

\[arclength = \int\limits \sqrt{(dx/dt)^2 + (dy/dt)^2} dt\]

Answer 2

thank you, i was using the equation for area under the curve