JEE Advance - Mathematics (1978 - No. 4)
Evaluate $$\int {{{\sin x} \over {\sin x - \cos x}}dx} $$
${1 \over 2}\log |\sin x - \cos x| - {x \over 2} + C
${1 \over 2}\log |\sin x + \cos x| + {x \over 2} + C
${1 \over 2}\log |\sin x - \cos x| + x + C
${1 \over 2}\log |\sin x - \cos x| + {x \over 2} + C
${1 \over 2}\log |\cos x - \sin x| - {x \over 2} + C