# What is #f(x) = int (x-3)^2-3x+4 dx# if #f(2) = 4 #?

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To find ( f(x) = \int (x-3)^2 - 3x + 4 , dx ) if ( f(2) = 4 ), we integrate the given function with respect to ( x ) and then use the given information to solve for the constant of integration. Given that ( f(2) = 4 ), we substitute ( x = 2 ) into the function and solve for the constant. After finding the constant, we integrate the function with the determined constant to find the definite integral.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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