MathDB
Today's calculation of Integral 848

Source: created by kunny

October 10, 2012
calculusintegrationtrigonometrylogarithmscalculus computations

Problem Statement

Evaluate ∫0π4sin⁡θ−2ln⁡1−sin⁡θcos⁡θ(1+cos⁡2θ)ln⁡1+sin⁡θcos⁡θdθ.\int_0^{\frac {\pi}{4}} \frac {\sin \theta -2\ln \frac{1-\sin \theta}{\cos \theta}}{(1+\cos 2\theta)\sqrt{\ln \frac{1+\sin \theta}{\cos \theta}}}d\theta .
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