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We distinguish between two types of curve integrals: scalar curve integrals and vector curve integrals. In a scalar curve integral, a scalar field is integrated along a curve, in the vector case a vector field. In applications, the scalar integrals determine a mass or charge of the described curve, while the vector integrals determine work done when a particle is moved along the curve.

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Curve Integrals

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  • 发表日期：

    2026年

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  • Christian Karpfinger

摘要

We distinguish between two types of curve integrals: scalar curve integrals and vector curve integrals. In a scalar curve integral, a scalar field is integrated along a curve, in the vector case a vector field. In applications, the scalar integrals determine a mass or charge of the described curve, while the vector integrals determine work done when a particle is moved along the curve.