$$\int \frac{x^3-7 x+6}{x^2+3 x} \mathrm{~d} x=$$

If $f(x)=\frac{\sin ^2 \pi x}{1+\pi^x}$, then $\int(f(x)+f(-x)) d x$ is equal to

If $\int \frac{\mathrm{d} x}{\cos ^3 x \sqrt{2 \sin 2 x}}=(\tan x)^A+C(\tan x)^B+\mathrm{k}$ where k is a constant of integration, then $A+B+C$ equals

The integral $\int \frac{2 x^3-1}{x^4+x} \mathrm{~d} x$ is equal to