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Homework Help: Find the integral of sin^2010 x/ 2010

  1. May 26, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex]\int\frac{sin^{2010}x}{2010}[/tex]



    3. The attempt at a solution

    All that I could do was to :
    [tex]\frac{1}{2010^{2}}[/tex][tex]\int tan x [/tex]dt

    Please help me futher!
     
  2. jcsd
  3. May 26, 2008 #2
    t=[tex]sin^{-1}[/tex][tex]t^{\frac{1}{2010}}[/tex]
     
  4. May 26, 2008 #3

    Defennder

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    Homework Helper

    Just to clarify, you meant [tex]\int \frac{sin^{2010}x}{2010} dx[/tex] right?

    Are you sure this isn't supposed to be a definite integral? Because otherwise the indefinite integral would take about forever to evaluate.
     
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