$$\int_{0}^{\frac{\pi}{2}} \frac{2 \cot{\left (x \right )} + 1}{2 \sin{\left (x \right )} + \cos{\left (x \right )}}\, dx$$
How to solve this problem? What are the main steps in solving this ? I understand that this integral should be wrtitten as a summ of integrals but I can't find the problem point.Is it this :
2*sin(x)+cos(x)=0
cos(x)/2sin(x)=-1
ctg(x)=-2
x=arcctg(-2)