12TH•Mathematics•Integration•3.1 Indefinite Integrals

Introduction

The anti-derivative, constant of integration, linearity properties, and standard integration rules.

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Integration is the reverse process of differentiation. If $\dfrac{d}{dx}[F(x)] = f(x)$ , then $F(x)$ is an antiderivative of $f(x)$ , denoted:

\int f(x) \, dx = F(x) + C

where $C$ is an arbitrary constant of integration.

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