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853

Part of 2012 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 853

Source:

11/12/2012
Let 0<a<π2.0<a<\frac {\pi}2. Find lim⁡a→+01a3∫0aln⁡ (1+tan⁡atan⁡x) dx.\lim_{a\rightarrow +0} \frac{1}{a^3}\int_0^a \ln\ (1+\tan a\tan x)\ dx.
calculusintegrationlimitlogarithmstrigonometrycalculus computations