absolute-value

The expression $\frac{(x+y)-|x-y|}{2}$ is equal to :

If $$\int_0^{2\pi } {\left| {x\sin x} \right|dx = k\pi ,} $$ then the values of $$k$$ is equal to _________ .

Consider the following two statements about the function $$$f\left( x \right) = \left| x \right|:$$$ $$P.\,\,f\left( x \right)$$ is continuous for all real values of $$x$$ $$Q.\,\,...

Consider the function $$y = \left| x \right|$$ in the interval $$\left[ { - 1,1} \right]$$. In this interval, the function is