Which integral will evaluate to ?

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

Problem

Which integral will evaluate to ln⁡∣sin⁡x∣+C\ln|\sin x|+C? (a) ∫sin⁡xcos⁡x dx\displaystyle \int \frac{\sin x}{\cos x}\,dx (b) ∫cos⁡xsin⁡x dx\displaystyle \int \frac{\cos x}{\sin x}\,dx (c) ∫1sin⁡x dx\displaystyle \int \frac{1}{\sin x}\,dx (d) ∫cos⁡x sin⁡x dx\displaystyle \int \cos x\,\sin x\,dx

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