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Popular Calculus >

integral of ze^{-z}

Solution

\int z e^{- z} d z

Solution

- e^{- z} z - e^{- z} + C

Solution steps

\int z e^{- z} d z

Apply Integration By Parts

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

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

= - e^{- z} z - e^{- z}

Add a constant to the solution

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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of ze^{-z} ?
The integral of ze^{-z} is -e^{-z}z-e^{-z}+C