# What is the antiderivative of a constant?

I find it simpler to think of this looking at the derivative first.

I mean: given a first degree variable, what would be the outcome of differentiation that would yield a constant?

We could express it mathematically as follows:

This indicates that a first-degree variable is being distinguished:

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The antiderivative of a constant is simply the variable multiplied by that constant, plus an arbitrary constant of integration. In mathematical notation, if ( C ) is a constant, then the antiderivative of ( C ) with respect to a variable ( x ) is ( Cx + K ), where ( K ) represents the constant of integration.

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