The antiderivative ofx*exp(1-x)

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SUMMARY

The antiderivative of the function x * exp(1-x) can be solved using integration by parts, specifically the formula ∫u dv = uv - ∫v du. In this case, let u = x and dv = e^(1-x) dx. By differentiating u and integrating dv, users can derive the necessary components to complete the integration. This method is essential for solving products of functions in calculus.

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pleasezz the antiderivative ofx*exp(1-x)

hi all,,,,,,



pleasezz the antiderivative ofx*exp(1-x)


tomorrow 11/1/2007 is the last day

please
 
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You left it a bit late didn't you? Anyway, please provide your thoughts on a solution to the problem (for example, do you know any methods of integrating products?) Better still, in future, use the homework posting template with which you were provided!
 
Well since you don't really have much time, Ill just get through to you the essentials, But can't give you the answer.

[tex]\int u dv= uv-\int v du[/tex]

Let u=x, dv= e^(1-x) dx. Differentiate u with respect to x, and take the dx to the other side to get du. Integrate dv to get v. Once you have those values, sub them into that equation and your done. Good Luck

EDIT: O btw this is obviously calculus, put this is the calculus section next time.
 

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