What is #f(x) = int xe^x# if #f(2)=3 #?
we use integration by parts
in this case
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To find ( f(x) = \int xe^x ) when ( f(2) = 3 ), first, differentiate ( f(x) ) to find its expression. Then, integrate the expression and use the given condition ( f(2) = 3 ) to determine the constant of integration. Differentiate the integral function and integrate again to find the final expression for ( f(x) ).
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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.
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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