e-x-dx-

Question Number 90023 by Rio Michael last updated on 20/Apr/20

\int e^{∣ x ∣} d x = ? ? ?

Answered by MJS last updated on 21/Apr/20

e^{∣ x ∣} = {\begin{cases} e^{- x}; x < 0 \\ e^{x}; x ⩾ 0 \end{cases} \Rightarrow \int e^{∣ x ∣} d x = {\begin{cases} - e^{- x} + C; x < 0 \\ e^{x} + C; x ⩾ 0 \end{cases}

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