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Integral of Sec^4x

  1. Oct 10, 2013 #1
    1. The problem statement, all variables and given/known data

    The ∫sec4x

    2. Relevant equations

    3. The attempt at a solution

    Im not entirely sure how to do this. At first I was thinking u sub but then theres nothing for u'.
  2. jcsd
  3. Oct 10, 2013 #2


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    Gold Member

    What trig identities do you know involving se(x)?
  4. Oct 10, 2013 #3


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    Gold Member

    Try writing it as$$
    \int \sec^2x(1+\tan^2 x)~dx$$and look for a ##u## substitution.
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