Question

${\int }_0^1{e}^{2Inx}dx=$

• A. $0$
• B. $\frac{1}{2}$
• C. $\frac{1}{3}$
• D. $\frac{1}{4}$

Answer 1

The correct option is C $\frac{1}{3}$

${\int }_0^1{e}^{2logx}dx={\int }_0^1{e}^{log{x}^2}dx={\int }_0^1{x}^{2}dx={\left[\frac{x^3}{3}\right]}_0^1=\frac{1}{3}$