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Find the integral of sin^2010 x/ 2010

  • Thread starter xphloem
  • Start date
  • #1
10
0

Homework Statement



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



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!
 

Answers and Replies

  • #2
10
0
t=[tex]sin^{-1}[/tex][tex]t^{\frac{1}{2010}}[/tex]
 
  • #3
Defennder
Homework Helper
2,591
5
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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