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