Integral of 1/(cosx-1)

  1. 1. The problem statement, all variables and given/known data

    help me out. I want to find the integral of 1/(cosx-1). I first multiplied the function by cosx+1/cosx+1. then i ended up with the integral of (cosx+1)/(-sinx)^2 leading to integral of cosx/(-sinx)^2 plus integral of 1/(-sinx)^2.

    the integral of 1/(-sinx)^2 i believe is just cotx.

    the integral of cosx/(-sinx)^2 i think is -(integral of cotx*cscx)

    2. Relevant equations

    integral of 1/(cosx-1)
  2. jcsd
  3. Mark44

    Staff: Mentor

    What's your question? I don't see anything wrong in what you've described. You can check any antiderivative you get by taking its derivative. If you get back to the integrand, you're good.
  4. vela

    vela 12,972
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    What function has as its derivative -cot x csc x?
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