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If sinx is related to cosx, then \(\frac{1}{{\left| x \right|\sqrt {{x^2} - 1} }}\) is related to:

  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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Detailed Solution

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These are the basic formulae of integration and differentiation.

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