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Arc Length in Parametric Form
For:
$$x=x(t),\quad y=y(t)$$
from $$t=a$$ to $$t=b$$:
$$L=\int_a^b\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2}\,dt$$
Usage
- Used when the curve is represented parametrically.
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Arc Length in Parametric Form
For:
$$x=x(t),\quad y=y(t)$$
from $$t=a$$ to $$t=b$$:
$$L=\int_a^b\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2}\,dt$$
Usage
- Used when the curve is represented parametrically.
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