Mathematics

Mathematics

Problem

If the integral ∫cos⁡8x+1cot⁡2x−tan⁡2xdx=Acos⁡8x+k\int \frac{\cos 8x + 1}{\cot 2x - \tan 2x} dx = A \cos 8x + k where kk is an arbitrary constant, then AA is equal to : [JEE-MAIN ONLINE-2013] (1) 116\frac{1}{16} (2) 18\frac{1}{8} (3) −116-\frac{1}{16} (4) −18-\frac{1}{8}

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