If , then evaluate ( 1 + 2 1 - 2 )^ ^2 + ( 2 1 + 2 )…

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

If cos⁡θ>sin⁡θ>0\cos \theta > \sin \theta > 0 , then evaluate ∫{log⁡(1+sin⁡2θ1−sin⁡2θ)cos⁡2θ+log⁡(cos⁡2θ1+sin⁡2θ)}dθ\int \left\{ \log \left( \frac{1 + \sin 2\theta}{1 - \sin 2\theta} \right)^{\cos^2 \theta} + \log \left( \frac{\cos 2\theta}{1 + \sin 2\theta} \right) \right\} d\theta

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