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hii what is the most general antiderivative of the function F(x)= x-4?
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antiderivative of a function is the integral of a function, therefore \[\int\limits_{}^{}F(x)dx= \int\limits_{}^{}( x-4)dx=(x^2)/2 -4x +C\]
Thank you so much!!! how in the world do you know how to do that?! I HATE CALCULUS!!!
integral is the reverse of derivative \[\int\limits_{}^{}F(x)dx=\int\limits_{}^{} (x-4)dx\]
\[=\int\limits_{}^{}xdx-\int\limits_{}^{}4dx\] =(x^2)/2 - 4x +C
lets do the derivative of your answer d(x^2)/2 - 4x +C)/dx=(2/2)x -4+0 =x-4=F(x)
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