[See Solution] Find a simplified expression (involving a sum and a limit) for the area under the curve f(x)=xe^x between x = 0 and x = 2. You should simplify


Question: Find a simplified expression (involving a sum and a limit) for the area under the curve \(f\left( x \right)=x{{e}^{x}}\) between x = 0 and x = 2. You should simplify to the point where you no longer have any x ’s in your expression but you do not need to evaluate the sum or limit.

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