$$ \int e^x\left(1+\tan x+\tan ^2 x\right) d x \text { is equal to } $$

$$ \int \frac{\cos 4 x+1}{\cot x-\tan x} d x= $$

$$\int \frac{1}{x \sqrt{a x-x^2}} d x$$ is

$$\int \frac{3^x}{\sqrt{1-9^x}} d x$$ is equal to