The value of \(\mathop \smallint \limits_0^{\frac{{\rm{\pi }}}{4}} \sqrt {\tan {\rm{x\;}}} {\rm{dx}} + \mathop \smallint \limits_0^{\frac{{\rm{\pi }}}{4}} \sqrt {\cot {\rm{x}}} {\rm{dx}}\) is equal to
1
\(\frac{{\rm{\pi }}}{4}\)
2
\(\frac{{\rm{\pi }}}{2}\)
3
\(\frac{{\rm{\pi }}}{2\sqrt2}\)
4
\(\frac{{\rm{\pi }}}{\sqrt2}\)