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If ƒ(x) = x cos x 2 x cos x 2 + − and g(x) = log e x, (x > 0) then the value of the integral ∫ π π − 4 / 4 / dx )) x (ƒ( g is -

1. log e 1
2. log e 3
3. log e e
4. log e 2

Correct answer: log e 1

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