AP Calculus BCeasymcq1 pt

The arc length of a parametric curve over a ≤ t ≤ b is

A.∫ √((dx/dt)² + (dy/dt)²) dt
B.∫ (dx/dt + dy/dt) dt
C.∫ √(1 + (dy/dx)) dx
D.∫ (dy/dx) dt

Explanation

Core Concept

Arc length integrates the speed over time.

Correct Answer

A∫ √((dx/dt)² + (dy/dt)²) dt

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