Definite IntegrationHard

Question

The area of the region on plane bounded by max (|x|, |y|) ≤ 1 and xy ≤ is

Options

A.1/2 + ln 2
B.3 + ln 2
C.31/4
D.1 + 2 ln 2

Solution

A1 = 2 dx
or    A1 = 2
⇒ A1 = 1 - ln 2
∴  area enclosed = 4 - (1 - ln 2) = 3 + ln 2

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