\int \sqrt{{\cosec} x-1} \dx=

Correct Answer is : log|sinx+12+√sin2x+sinx|+c

\log {| \sin x+\sqrt{ \sin ^2 x+ \sin x} |}+c

\log {| \sin x+1+2 \sqrt{ \sin ^2 x+ \sin x} |}+c

\log {| \sin x+\frac{1}{2}+\sqrt{ \sin ^2 x+ \sin x} |}+c

\log {| \sin x+\frac{1}{2}+\sqrt{ \sin ^2 x+\frac{1}{2}+ \sin x} |}+c

COMEDK 2023 Shift 1 Paper

Question : 79 of 180

Marks: +1, -0

∫√cosec‌x−1‌dx=

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