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What is the integral of sqrt (sec x) dx. Plz answer this difficult question

What is the integral of sqrt (sec x) dx. Plz answer this difficult question

Grade:12

1 Answers

Ritika Das
105 Points
3 years ago
First of all, let u = cos x.
Then, du/dx= – sin x
or, du= – sin x.dx
or, dx= ( – 1/sinx).du
Then I = ∫(sqrt.(sec x)).dx
          =∫(1/(sqrt.cos x)).dx
Putting u= cos x we get,
I = – ∫(1/(sqrt.(u(1 – u2)))).du
  This integral is an elliptical integral. It wasn’t that difficult! :)          

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