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The indefinite integral is simply another name for the antiderivative. Both terms refer to the family of functions whose derivative is the given function, typically expressed with an arbitrary constant $C$.

Conditions: The context is introductory calculus focusing on reverse differentiation.; The function is continuous or differentiable on the interval of interest.

The indefinite integral is simply another name for the antiderivative. Both terms refer to the family of functions whose derivative is the given function, typically expressed with an arbitrary constant $C$.

Conditions: The context is introductory calculus focusing on reverse differentiation.; The function is continuous or differentiable on the interval of interest.

The general form of the antiderivative of $2x$ is $x^2+C$, where $C$ represents an arbitrary constant. This is because multiple functions differing only by a constant share the same derivative.

Conditions: The function being integrated is $2x$.; $C$ is an arbitrary constant.

The general form of the antiderivative of $2x$ is $x^2+C$, where $C$ represents an arbitrary constant. This is because multiple functions differing only by a constant share the same derivative.

Conditions: The function being integrated is $2x$.; $C$ is an arbitrary constant.