Question:

$$\int \frac{1 + \sin^3 x + \cos^3 x}{\sin^2 x \cos^2 x} dx = \int \frac{\sin^2 x + \cos^2 x + \sin^3 x + \cos^3 x}{\sin^2 x \cos^2 x} dx = \int (\sec^2 x + \csc^2 x + \sec x \tan x + \csc x \cot x) dx = \tan x - \cot x + \sec x - \csc x + C$$