Evaluate ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{e^x}{e^{2x}4e^{x}3}dx$

$\frac{1}{2}ln(\frac{(e^{x}3{)}^3}{e^{x}1})C$

$\frac{1}{2}ln(\frac{e^{x}3}{e^{x}1})$

$\frac{1}{2}ln|\frac{u1}{u3}|$

$\frac{1}{2}ln(\frac{e^{x}1}{e^{x}3})C$