defence exam Agniveer Army Technical Mock Test Series 2025 Mathematics Integral Calculus Properties of Definite Integrals
Evaluate the integral \(\mathop \smallint \nolimits_0^{\frac{{\rm{\pi }}}{2}} \frac{{\sqrt {\tan x} }}{{\sqrt {\tan x} + \sqrt {\cot x} }}{\rm{dx}}\)
1
\( \frac{{\rm{\pi }}}{6}\)
2
\( \frac{{\rm{\pi }}}{2}\)
3
\( \frac{{\rm{\pi }}}{4}\)
4
None of the above