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Area bounded by the curve f(x) ={loge|x|...

Area bounded by the curve `f(x) ={log_e|x|,|x| >= 1/e |x|-1-1/e, |x|< 1/2` and x axis is

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The correct Answer is:
`-(1)/(e^(2))+(2)/(e )+(2)/(e^(2))+2-(4)/(e )=(1)/(e^(2))+2-(2)/(e )`
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