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Integral of sin(x^2) TI-89

  1. Nov 7, 2009 #1
    1. The problem statement, all variables and given/known data
    [tex]\int\stackrel{9}{0}\int\stackrel{9}{y}sin(x^2)dxdy[/tex]

    2. Relevant equations



    3. The attempt at a solution
    I don't see where there's enough "stuff" to play with to get past the first integration. My TI-89 can't do it and sin(x2) isn't in my integrals tables.

    Sorry about the LATEX issues. It's correctly presented now. I'm looking at my assignment and I'm 100% sure this is what the professor asked for.
     
    Last edited: Nov 7, 2009
  2. jcsd
  3. Nov 7, 2009 #2

    rock.freak667

    User Avatar
    Homework Helper

    I can't really decipher your LaTex code, but ∫sin(x2) dx has no elementary anti-derivative.

    so normally you can't compute it

    [tex]\int \int sin(x^2) dxdy[/tex]

    One can't find this

    though one can find

    [tex]\int \int sin(x^2) dydx[/tex]

    Were you trying to compute a double integral by chance?
     
  4. Nov 7, 2009 #3
    What you can do is reverse the integral, since dxdy = DA.

    So swap the integral and find the volume with respect to dydx
     
  5. Nov 7, 2009 #4
    The second part of the problem asks for a corresponding dydx double integral (and associated integration ranges) that would give you the same value once computed.
     
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