# Calculus: The Fundamental Theorem of Calculus – #35

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.