Question Number 68660 by aliesam last updated on 14/Sep/19
![∫e^(x+e^x ) dx](https://www.tinkutara.com/question/Q68660.png)
$$\int{e}^{{x}+{e}^{{x}} } \:{dx} \\ $$
Commented by aliesam last updated on 14/Sep/19
![perfect](https://www.tinkutara.com/question/Q68671.png)
$${perfect} \\ $$
Commented by Prithwish sen last updated on 14/Sep/19
![∫e^x e^e^x dx put e^x =t⇒e^x dx = dt ∫e^t dt=e^t +c= e^e^x +c please check](https://www.tinkutara.com/question/Q68663.png)
$$\int\mathrm{e}^{\mathrm{x}} \mathrm{e}^{\mathrm{e}^{\mathrm{x}} } \mathrm{dx}\:\:\:\:\:\:\mathrm{put}\:\mathrm{e}^{\mathrm{x}} =\mathrm{t}\Rightarrow\mathrm{e}^{\mathrm{x}} \mathrm{dx}\:=\:\mathrm{dt} \\ $$$$\int\mathrm{e}^{\mathrm{t}} \mathrm{dt}=\mathrm{e}^{\mathrm{t}} +\mathrm{c}=\:\boldsymbol{\mathrm{e}}^{\boldsymbol{\mathrm{e}}^{\boldsymbol{\mathrm{x}}} } +\boldsymbol{\mathrm{c}}\:\:\boldsymbol{\mathrm{please}}\:\boldsymbol{\mathrm{check}} \\ $$