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Integration by parts

  1. Jul 23, 2003 #1
    Hi can anyone help me solve this integral, I'm having trouble with this one???

    the integral is: int(sin^{8}x.dx)->upper limit=pi ->lower limit=0.

    Q) Evaluate the integral exactly using integration by parts to get a reduction formulae for int(sin^{n}x.dx)
     
  2. jcsd
  3. Jul 23, 2003 #2
    Hint(to find the reduction formula):
    [inte]0pi sinnx dx
    = - [inte]0pi sinn-1x d (cos x)
    = [- cos x sinn-1x]0pi + [inte]0pi cos x d(sinn-1x)
    = [inte]0pi cos x d(sinn-1x)
    = ...
     
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