Level:
Project ID:
2010008109
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Evaluate the following integral on the interval \(\left(\frac{\pi}{4};\frac{3\pi}{4}\right)\).
\[
\int \left(\frac{1}{2x}+\sin 2x - \frac{1}{\cos^2 2x}\right) \mathrm{d}x
\]
\( \frac12\left(\ln x - \cos 2x- \mathrm{tg}\, 2x\right) +c;~c \in \mathbb{R}\)
\( \frac12\left(\ln(2x) - \cos 2x- \mathrm{tg }\, 2x \right)+c;~c \in \mathbb{R}\)
\( \ln(2x) - \cos 2x- \mathrm{tg }\, 2x +c;~c \in \mathbb{R}\)
\( \ln(2x) + \cos 2x- \mathrm{cotg }\, 2x +c;~c \in \mathbb{R}\)