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Definite integration involving multiple angle of sine.

  1. Dec 5, 2013 #1
    pi
    ∫sin^2(nx)/sin^2(x) dx
    0

    I tried using mathematical induction and did arrive at the correct result but was wondering if a better method could be used to solve it?
     
  2. jcsd
  3. Dec 5, 2013 #2
    How do you use induction here? You haven't even given us a result!
     
  4. Dec 10, 2013 #3
    putting n=1,n=2
    we get pi, and pi as the result
    so i generalised it for 'n'.
    thats the reason i asked for the solution because this is definitely an improper method.
     
  5. Dec 11, 2013 #4
    Are you confused about what induction means?
     
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