# What is #f(x) = int (x^2-2x)(e^x-1) dx# if #f(2 ) = 4 #?

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The function ( f(x) = \int (x^2-2x)(e^x-1) , dx ) is an indefinite integral. To find the expression for ( f(x) ), you need to integrate ( (x^2-2x)(e^x-1) ) with respect to ( x ). Given that ( f(2) = 4 ), you can use this information to solve for the constant of integration after integrating the function.

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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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