Integrating a vector-valued function involves finding the antiderivative (or integral) of each component of the vector separately. It calculates the area under the curve represented by the vector.
Arc Length Parameterization: An arc length parameterization describes a curve using its arc length as an independent variable.
Line Integral: A line integral calculates quantities such as work or circulation along a curve defined by a vector field.
Fundamental Theorem for Line Integrals: This theorem relates line integrals to antiderivatives and provides shortcuts for evaluating certain types of line integrals.
AP Calculus AB/BC - Unit 9 Overview: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
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