$\int 5 \sin x \, dx = $

$\int \frac{dx}{\cos(x - a)\cos(x - b)} = $

$\int {\{ 1 + 2\tan x(\tan x + \sec x)\} }^{1/2} dx = $

If $\int \frac{dx}{32-2x^2} = A \log(4-x) + B \log(4+x) + c$,then the values of $A$ and $B$ are respectively (where $c$ is a constant of integration).

$\int \frac{1}{\sin x \cdot \cos^2 x} \, dx = $

$\int \frac{5(x^6 + 1)}{x^2 + 1} dx = $