Expii

# Length of a Parametric Curve - Expii

The arc length of a parametric curve $$(x(t),y(t))$$ over the interval $$(a,b)$$ can be found by integration: $$\int_a^b \sqrt{\left( \frac{dx}{dt} \right)^2 + \left( \frac{dy}{dt} \right)^2} \, dt$$.