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Area bounded by the curve f(x) = {(loge|x|, |x| ≥ 1/e), (|x| - 1 - 1/e, |x| < 1/e) and x-axis is

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Area bounded by the curve f(x) = {(loge|x|, |x| ≥ 1/e), (|x| - 1 - 1/e, |x| < 1/e) and x-axis is

(A) 1/e2 + 2 - 2/e

(B) 1/e2 + 2 + 2/e

(C) 1/e2 + 2/e

(D) None of these  

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Answer is (A) 1/e2 + 2 - 2/e

See Fig

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