Integral of 1/(cosx-1)

  • Thread starter montana111
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  • #1
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Homework Statement



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)


Homework Equations



integral of 1/(cosx-1)
 

Answers and Replies

  • #2
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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.
 
  • #3
vela
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What function has as its derivative -cot x csc x?
 

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