Evaluate \[ \int e^{x+e^x}\,dx. \]
Solution
Since \(e^{x+e^x}=e^x e^{e^x}\), let \(u=e^x\). Then \(du=e^x\,dx\), so \[ \boxed{\int e^{x+e^x}\,dx=e^{e^x}+C.} \]
Antiderivative of $e^{x+e^x}$
P-Y6XVP
- Area
- Prelim
- Topics
- Integrals, u-Substitution
- Status
- draft