$\int \dfrac{x + 2}{x^2 - 7x + 12} dx$ is equal to

If $\int \dfrac{dx}{\sqrt{2ax - x^2}} = f(g(x)) + c$, where $c$ is constant of integration, then $f(x), g(x)$ are respectively equal to

$\int \dfrac{x}{x + 2} dx$ is equal to

If $[\cdot]$ denotes the greatest integer function, then $\int_1^4 x[x] dx$ is equal to