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Antiderivative of some functions

  1. Dec 17, 2005 #1
    Anyone know how to get antiderivative of these? I am stuck.

    1) cos(t^5)
    2) tan(x^2)
    3) (1-x^2)^(1/3)

    Any explaination on how to do these would be appreciated.
     
  2. jcsd
  3. Dec 17, 2005 #2
    None of them are elementary functions.
     
  4. Dec 17, 2005 #3

    tmc

    User Avatar

    Best way to do those would be using Maple or Mathematica...


    here for example:
    http://integrals.wolfram.com/index.jsp
     
  5. Dec 17, 2005 #4
    int cost^5 = 1/11*t*(5*sin(t^5)*t^5*(t^5)^(7/10)+11*(t^5)^(7/10)*cos(t^5)-5*t^5*sin(t^5)*LommelS1(17/10, 3/2, t^5)-11*t^5*LommelS1(7/10, 1/2, t^5)*cos(t^5)+11*LommelS1(7/10, 1/2, t^5)*sin(t^5))/(t^5)^(7/10)
     
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