2010008110

Podoblast: 
Primitivní funkce
Část: 
B
Project ID: 
2010008110
Source Problem: 
2010008109
Accepted: 
0
Clonable: 
1
Easy: 
0
Vypočtěte \[ \int \left(\cos 2x+ \frac{1}{\sin^2 2x}-\frac{1}{2x} \right) \mathrm{d}x \] na intervalu \(\left(0;\frac{\pi}{2}\right)\).
\( \frac12\left(\sin 2x- \mathrm{cotg}\, 2x-\ln x \right) +c;~c \in \mathbb{R}\)
\( \frac12\left( \sin 2x- \mathrm{cotg }\, 2x -\ln 2x\right)+c;~c \in \mathbb{R}\)
\( \sin 2x- \mathrm{cotg }\, 2x - \ln 2x +c;~c \in \mathbb{R}\)
\( \sin 2x+ \mathrm{cotg }\, 2x +\ln 2x +c;~c \in \mathbb{R}\)