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Homework Help: YIPES! Integrals!

  1. May 1, 2005 #1
    OK, for the bad mamma-jamma:
    [tex]\int\frac{xdx}{1+x^4}[/tex] I picked [tex]u=x^2[/tex] and made du=2xdx which makes 1/2du=xdx.

    Now I have: [tex]\displaystyle{\frac{1}{2}}[/tex][tex]\int\frac{du}{1+u^2}[/tex]

    If the almighty green-bottled lager from Holland has been good to me, I get:

    [tex]\frac{1}{2} \arctan x^2+c[/tex]

    Is this: a) correct, b)good enough or c)can this be tweaked?

    So help me, if I get at least a B in Calculus I will be near Spiritual Creaminess.
     
  2. jcsd
  3. May 1, 2005 #2

    Pyrrhus

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    Homework Helper

    Yes it's correct.
     
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