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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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