The function ,

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The function f(x)=ln⁡(1+sin⁡2x)−ln⁡(cos⁡2x)f(x) = \ln(1 + \sin 2x) - \ln(\cos 2x), ∀x∈(0,π4)\forall x \in \left(0, \frac{\pi}{4}\right), is the antiderivative of (a) 12sec⁡2x\frac{1}{2}\sec 2x (b) cosec⁡2x\operatorname{cosec} 2x (c) 2sec⁡2x2\sec 2x (d) 2cosec⁡2x2\operatorname{cosec} 2x

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