Evaluate the integral \int _{0}^{\frac{\pi }{2}}⁡ {\sqrt{\tan ⁡x}}/{\sqrt{\tan ⁡x} + \sqrt{\cot ⁡x}}dx

Correct Answer is : \;{π\;}/{4}

Agniveer Vayu or IAF Group X 13 July 2021 Shift 3 Paper

Question : 37 of 70

Marks: +1, -0

Evaluate the integral $∫ _{0}^{\;{π\;}/{2}}⁡\;{{√{\tan\;⁡x}}}/{{√{\tan\;⁡x}} + {√{\cot ⁡x}}}dx$

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