$$\int {{{dx} \over {\sin x + \sqrt 3 \cos x}}} $$ equals

$$\int {{{{{\sin }^{ - 1}}x} \over {\sqrt {1 - {x^2}} }}dx} $$ equal to

where c is an arbitrary constant

$$\int {{{\log \sqrt x } \over {3x}}dx} $$ is equal to

$$\int {{e^x}\left( {{2 \over x} - {2 \over {{x^2}}}} \right)dx} $$ is equal to