Arc length for parametric equations, Mathematics

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Arc Length for Parametric Equations

L = ∫^β_α √ ((dx/dt)² + (dy/dt)²) dt

Note: that we could have utilized the second formula for ds above is we had supposed instead that

dy/dt > 0 for α < t < β

If we had moved out this route in the derivation we would have gotten similar formula.

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