The maximum value of $$Z=3 x+5 y$$, subject to $$3 x+2 y \leq 18, x \leq 4, y \leq 6, x, y \geq 0$$ is

$$\int\left[-\frac{\log x-1}{1+(\log x)^2}\right]^2 d x=$$

$$\int \frac{d x}{\cos 2 x-\cos ^2 x}=$$

The area included between the parabolas $$y^2=5 x$$ and $$x^2=5 y$$ is