# How do you find the most general antiderivative of the function for #f(x) = x - 7#?

Further using the properties of integrals,

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To find the most general antiderivative of the function ( f(x) = x - 7 ), integrate the function with respect to ( x ):

[ \int (x - 7) , dx ]

[ = \int x , dx - \int 7 , dx ]

[ = \frac{x^2}{2} - 7x + C ]

Where ( C ) is the constant of integration. Thus, the most general antiderivative of ( f(x) = x - 7 ) is ( \frac{x^2}{2} - 7x + C ).

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