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

The area bounded by the curve $x=\log (|y|)$, the lines $x=-1$ and $x=0$ is
  1. $1-\mathrm{e}^{-1}$
  2. $1-\mathrm{e}$
  3. $2(1-\mathrm{e})$
  4. $2\left(1-\mathrm{e}^{-1}\right)$

Solution

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

Asked in: AP EAMCET 2023 (16 May Shift 2)

Practice more Area Under Curves questions on Aicharya