What is the integral of ne^{-n} ?

The integral of ne^{-n} is -e^{-n}n-e^{-n}+C

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integral of ne^{-n}

\int n e^{- n} d n

- e^{- n} n - e^{- n} + C

Solution steps

\int n e^{- n} d n

Apply Integration By Parts

: - e^{- n} n - \int - e^{- n} d n

= - e^{- n} n - \int - e^{- n} d n

\int - e^{- n} d n = e^{- n}

= - e^{- n} n - e^{- n}

Add a constant to the solution

= - e^{- n} n - e^{- n} + C

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