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Question Number 5111 by LMTV last updated on 13/Apr/16

∫(dy/e^y )=?

$$\int\frac{{dy}}{{e}^{{y}} }=? \\ $$

Answered by FilupSmith last updated on 13/Apr/16

=∫e^(−y) dy  ∫e^(ax+b) dx=ae^(ax+b) +c  =−e^(−y) +c  =−(1/e^y )+c

$$=\int{e}^{−{y}} {dy} \\ $$$$\int{e}^{{ax}+{b}} {dx}={ae}^{{ax}+{b}} +{c} \\ $$$$=−{e}^{−{y}} +{c} \\ $$$$=−\frac{\mathrm{1}}{{e}^{{y}} }+{c} \\ $$

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