Question Number 5111 by LMTV last updated on 13/Apr/16
$$\int\frac{{dy}}{{e}^{{y}} }=? \\ $$
Answered by FilupSmith last updated on 13/Apr/16
$$=\int{e}^{−{y}} {dy} \\ $$$$\int{e}^{{ax}+{b}} {dx}={ae}^{{ax}+{b}} +{c} \\ $$$$=−{e}^{−{y}} +{c} \\ $$$$=−\frac{\mathrm{1}}{{e}^{{y}} }+{c} \\ $$