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Q.

The area bounded by the curves $y = \log x, y = \log |x|, y = |\log x|$ and $y = |\log |x||$ is.

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answer is 2.

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Detailed Solution

$A = 2$ ( Area in the first quadrant)

$A = 2 \int_{0}^{1} |\log x| d x$ $= - 2 \int_{0}^{1} \log x d x$

$= - 2 {(x \log x - x)}_{0}^{1} = 2$

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