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For x > 0, let f(x) = ∫ (ln t)/(1 + t) (for t → 1, x) dt. Find the function f(x) + f(1/x) and show that f(e) + f(1/e) = 1/2. Here, ln t = loge t

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For x > 0, let f(x) = ∫ (ln t)/(1 + t) (for t → 1, x) dt. Find the function f(x) + f(1/x) and show that f(e) + f(1/e) = 1/2. Here, ln t = loge t

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Given  that,

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