Explain, in one or two sentences, why an arbitrary constant appears when recovering a…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Explain, in one or two sentences, why an arbitrary constant appears when recovering a position function from a given velocity function, and how an initial position value determines that constant.

Related theory

Antiderivatives
Applications of Integration
Fundamental theorem of calculus
Integration as inverse process of differentiation
Integrals

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