If $\int_0^3\left(3 x^2-4 x+2\right) d x=k$, then an integer root of $3 x^2-4 x+2=3 k / 5$ is

$$ \int_0^\pi \frac{x \cos ^2 x}{1+\sin x} d x= $$

If $[x]$ represents greatest integer function, then

$$ \int_{-2}^2[2-x] d x= $$

$$ \int_0^2 \frac{x}{(2-x)^{\frac{3}{4}}} d x= $$