Find the indefinite integral: ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{x}^{2e}+e^{x}dx$

$2e{x}^e+e^x+x+c$

$\frac{x^{2e+1}}{2e+1}+e^x+c$

$x^{2e+1}+e^x+c$

$x^{2e}+e^x+c$