The value of \( \int \frac{d x}{\sin x+\sec x} \) (a) \( \frac{1}{2 \sqrt{3}} \ln \left(\frac{\c...

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The value of \( \int \frac{d x}{\sin x+\sec x} \)
(a) \( \frac{1}{2 \sqrt{3}} \ln \left(\frac{\cos x-\sin x-\sqrt{3}}{\cos x-\sin x+\sqrt{3}}\right)+\tan ^{-1}(\cos x+\sin x)+C \)
(b) \( \frac{1}{\sqrt{3}} \ln \left(\frac{\cos x-\sin x-\sqrt{3}}{\cos x-\sin x+\sqrt{3}}\right)+\tan ^{-1}(\cos x+\sin x)+C \)
(c) \( \frac{1}{2} \ln \left(\frac{\cos x-\sin x-\sqrt{3}}{\cos x-\sin x+\sqrt{3}}\right)+\tan ^{-1}(\cos x+\sin x)+C \)
(d) None of these
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