The value of the integral \I=\int(\sqrt{\tan \x}+\sqrt{\cot\x}) \dx, where \x \in (0, \frac{\\pi}{2}), is

Correct Answer is : √2sin−1(sinx−cosx)+C

\sqrt{2} \sin ^{-1}(\cos \x- \sin \x)+\C

\sqrt{2} \sin ^{-1}( \sin \x-\cos \x)+\C

\sqrt{2} \sin ^{-1}(\cos \x+ \sin \x)+\C

-\sqrt{2} \sin ^{-1}( \sin \x+\cos \x)+\C

CGPET 2015 Solved Paper

Section: Mathematics

Question : 113 of 150

Marks: +1, -0

The value of the integral I=∫(√tan‌x+√cot‌x)‌dx, where x∈(0,‌

), is

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