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Difficult integration

  1. Feb 6, 2008 #1
    1. The problem statement, all variables and given/known data
    How do you integrate sin^4(2x) with out the reduction formulas. seems impossible

    2. Relevant equations

    i think you have to use integration by parts?

    3. The attempt at a solution
    Last edited: Feb 6, 2008
  2. jcsd
  3. Feb 6, 2008 #2
    I don't think you can. At least, not without essentially deriving the reduction formulas in the process (assuming you're referring to reduction formulas of Ssin^m(x) cos^j(x))
  4. Feb 6, 2008 #3
    expressing sin^4(2x)=(sin^2(2x))^2=(1-cos^2(4x))/2, and then do the same for cos^2(4x)=(1+cos(8x))/2
    i do not see why this would be impossible?????
  5. Feb 7, 2008 #4


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    The original post said "without the reduction formulas". I doubt there is any and don't really see why one would care.
  6. Feb 7, 2008 #5
    Oh, sorry, i did not know that these are called "reduction formulas", my bad!
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