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Answers for “符号 $\int 2x \, dx$ 与原函数有什么关系?”

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The indefinite integral of 2x2x is x2+Cx^2+C. In this context, the term 'indefinite integral' is simply another name for the antiderivative, representing the family of all functions whose derivative is 2x2x.

Conditions: The expression being integrated is 2x2x.; The result includes an arbitrary constant CC.

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The general form of the antiderivative of 2x2x is x2+Cx^2+C, where CC represents an arbitrary constant. This is because multiple functions differing only by a constant share the same derivative.

Conditions: The function being integrated is 2x2x.; CC is an arbitrary constant.