What is $$\int_{ - 2}^2 {x\,dx - \int_{ - 2}^2 {[x]} \,dx} $$ equal to, where [ . ] is the greatest integer function?

If $$\int_{ - 2}^5 {f(x)dx = 4} $$ and $$\int_0^5 {\{ 1 + f(x)\} dx} = 7$$, then what is $$\int_{ - 2}^0 {f(x)dx} $$ equal to ?

What is $$\int_0^{4\pi } {\left| {\cos x} \right|} \,dx$$ equal to ?

What is $$\int\limits_0^{2\pi } {\sqrt {1 + \sin {x \over 2}} dx} $$ equal to ?