Is equal to (where is constant of integration)

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

∫(tan⁡x+2tan⁡2x+4tan⁡4x+8cot⁡8x) dx\int (\tan x+2\tan 2x+4\tan 4x+8\cot 8x)\,dx is equal to (where CC is constant of integration) (a) ln⁡(sin⁡x)+c\ln(\sin x)+c (b) −ln⁡(csc⁡x)+c-\ln(\csc x)+c (c) ln⁡(cos⁡x)+c\ln(\cos x)+c (d) ln⁡(sin⁡2x)−ln⁡(2cos⁡x)\ln(\sin 2x)-\ln(2\cos x)

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