Question

Area bounded by y $=e^{2x}$ and lines $x=0$,$y=0$ and $x=\frac{e}{2}$ is given by

• A. $\frac{1}{2}{\int }_0^{e^2}lnydy$
• B. $\frac{e^e-1}{2}$
• C. $e^2$
• D. None of these

Answer 1

The correct option is B $\frac{e^e-1}{2}$

$A={\int }_0^{\frac{e}{2}}{e}^{2x}dx={\left[\frac{e^{2x}}{2}\right]}_0^{\frac{e}{2}}=\frac{e^e-1}{2}$