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Sum of an integral

Calculus Level 3

\[\large \sum_{n=1}^\infty \int_n^{n+1}xe^{-x}dx = \ ? \]

Notation: \(e \approx 2.718\) denotes the Euler's number.

\[\frac 8e\] \[\frac 4e\] \[\frac 6e\] \[\frac 2e\]

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by Angel Loquez

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