$$\int \cot x \cdot \log [\log (\sin x)] d x=$$

If $$\sin \theta=-\frac{12}{13}, \cos \phi=-\frac{4}{5}$$ and $$\theta, \phi$$ lie in the third quadrant, then $$\tan (\theta-\phi)=$$

The symbolic form of the following circuit is (where $$p, q$$ represents switches $$S_1$$ and $$s_2$$ closed respectively)

The differential equation of all lines perpendicular to the line $$5 x+2 y+7=0$$ is