1.

Evaluate ∫ 1/(x log x[log(log x)] dx on (1, ∞).

Answer»

t = log (log x)

dt = (1/log x).(1/x) dx

∫ 1/(x log x [log (log x)] dx 

= ∫ dt/t = log |t| + C 

= log |log (log x)|+ C



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