A family of logarithm integrals Let I1p2 = L e 1 ln x xp

Chapter 7, Problem 83

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A family of logarithm integrals Let I1p2 = L e 1 ln x xp dx, where p is a real number. a. Find an expression for I1p2, for all real values of p. b. Evaluate lim pS_ I1p2 and lim pS-_ I1p2. c. For what value of p is I1p2 = 1?

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