यदि sinx, cosx है, तो \(\frac{1}{{\left| x \right|\sqrt {{x^2} - 1} }}\) क्या है?

  1. sec -1 x
  2. cosec -1 x
  3. ax loga e
  4. ax loge a

Answer (Detailed Solution Below)

Option 1 : sec -1 x
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AFCAT 16th Feb 2024 (Shift 1) Memory Based Paper.
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100 Questions 300 Marks 120 Mins

Detailed Solution

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यह समाकलन और अवकलन के मूल सूत्र हैं।

\(\smallint sinxdx = \cos xand\smallint \frac{{dx}}{{\left| x \right|\sqrt {{x^2} - 1} }} = {\sec ^{ - 1}}x\)
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