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Evaluate ∫(dx/(1 + 5^cosx)) + ∫ln((5 - x)/(5 + x))dx for x∈[0, π], for x ∈ [-2, 2].

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Evaluate ∫(dx/(1 + 5cosx)) + ∫ln((5 - x)/(5 + x))dx for x∈[0, π], for x ∈ [-2, 2].

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Best answer

Let

Adding Eqs. (1) and (2), we get

Therefore, g(x) is an odd function.

Therefore,

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