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Composite Root Integral

  1. Aug 13, 2009 #1
    The problem statement, all variables and given/known data
    [tex]\int\sqrt{40t^2+e^t^2}dt[/tex]

    That should be e^t^2.
    How would I go about doing this?
     
  2. jcsd
  3. Aug 13, 2009 #2

    Cyosis

    User Avatar
    Homework Helper

    You can forget about a primitive in terms of elementary functions. It doesn't exist as is the case in most situations. What you could try is to write the integrand as a series expansion and integrate term by term.
     
  4. Aug 13, 2009 #3

    Mark44

    Staff: Mentor

    That's generally good advice, but the square root in this case is going to complicate this strategy a lot!
     
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