If I=∫▒(√(cot⁡x )-√(tan⁡x ))  dx, then I equals ... 👇 | NIMCET | Impetus Gurukul
Channel: IMPETUS GURUKUL
Date: 2023-03-02

If I=∫▒(√(cot⁡x )-√(tan⁡x ))  dx, then I equals
(a) √2  log⁡(√(tan⁡x )-√(cot⁡x ))+C
(b) √2  log⁡|sin⁡〖x+cos⁡〖x+√(sin⁡2x )〗 〗 |+C
(c) √2  log⁡|sin⁡〖x-cos⁡〖x+√2  sin⁡〖x cos⁡x 〗 〗 〗 |+C
(d) √2  log⁡|sin⁡〖(x+π/4)+√2  sin⁡〖x cos⁡x 〗 〗 |+C
Ans: b


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