The Eulerian logarithmic integral Li(x) is defined2 as Li(x) = , x 2 1 ln t dt. Letting

Chapter 7, Problem 76

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The Eulerian logarithmic integral Li(x) is defined2 as Li(x) = , x 2 1 ln t dt. Letting u = Li(x) and v = ln x, use integration by parts to evaluate , Li(x)x1 dx. Your answer will involve Li(x)

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