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Trig. Integral

  1. Sep 30, 2012 #1
    ∫(cot^4 x) (csc^4 x) dx

    Wolfram wants to use the reduction formula, but I'm meant to do this just using identities and u substitution. I was thinking something along the lines of:

    =∫cot^4 x (cot^2 x + 1)^2 dx

    =∫cot^8 x + 2cot^6 x + cot^4 x dx

    but I don't know where to go from there.
  2. jcsd
  3. Sep 30, 2012 #2
    Try ∫(cot^4 x) (1+cot^2 x) (csc^2 x) dx

    Whats the derivative of cot(x)?
  4. Sep 30, 2012 #3
    Thanks. Worked it out with that in mind. I appreciate it : D
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