# 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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