Solved: Zero log integral It is evident from the graph of
Chapter 7, Problem 77(choose chapter or problem)
Zero log integral It is evident from the graph of y = ln x that for every real number a with 0 6 a 6 1, there is a unique real number b = g1a2 with b 7 1, such that 1 b a ln x dx = 0 (the net area bounded by the graph of y = ln x on 3a, b4 is 0). a. Approximate b = g112 2. b. Approximate b = g113 2. c. Find the equation satisfied by all pairs of numbers 1a, b2 such that b = g1a2. d. Is g an increasing or decreasing function of a? Explain.
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