The area bounded by the curve $x=\log (|y|)$, the lines $x=-1$ and $x=0$ is

• A

  $1-\mathrm{e}^{-1}$
• B

  $1-\mathrm{e}$
• C

  $2(1-\mathrm{e})$
• Correct answer
  D

  $2\left(1-\mathrm{e}^{-1}\right)$

Solution

Given the curve $x=\log |y|$ Graph of curves
Required area $=2 \int_{-1}^0 e^x d x=2\left(e^x\right)_{-1}^0=2\left(1-e^{-1}\right)$

Hence, the correct answer is option: 'D'.