1003107906

Level: 
Project ID: 
1003107906
Accepted: 
1
Solve the indefinite integral \[\int\frac{\mathrm{d}x}{\mathrm{cotg}\,x\cdot\sin2x} \] in the range \( \left(0;\frac{\pi}2\right) \).
\( \frac12\mathrm{tg}\,⁡x+c \), \( c\in\mathbb{R} \)
\( \frac12\mathrm{cotg}\,⁡x+c \), \( c\in\mathbb{R} \)
\( \ln⁡|\sin⁡2x |+c \), \( c\in\mathbb{R} \)
\( -\frac12\mathrm{tg}\,x+c \), \( c\in\mathbb{R} \)