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Integration - Trig Substitutions (solve for Y)

  1. Oct 30, 2007 #1
    1. The problem statement, all variables and given/known data

    Solve the problem for y as a function of x

    a) [tex] (x^2+1)^2 \frac{dy}{dx}=\sqrt{x^2+1}[/tex]

    2. Relevant equations


    3. The attempt at a solution



    After some simplifying, I get here but get stuck:





    Did I go the wrong route going for the U sub? Were my calculations wrong to begin with? Any help is greatly appreciated!!!!!
     
    Last edited: Oct 31, 2007
  2. jcsd
  3. Oct 30, 2007 #2

    Dick

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    You are on the right track. But the tex is hugely unclear. In the end the integral should have come out to be dtheta/sec(theta). And that's hugely easy.
     
  4. Oct 30, 2007 #3

    Dick

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    Stop texing. Your integrand is 1/sec(t)^3 and the dx is sec(t)^2*dt.
     
  5. Oct 31, 2007 #4
    Sorry guys. My texing was bad and it appears my question was too simple for these forums.
     
  6. Oct 31, 2007 #5

    Dick

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    Hey, hey. Sorry. I wasn't criticizing you. I can't TeX for s**t either. I'm just saying the problem is easier than you think. You just didn't put the integrand together with the dx and get a simple solution.
     
  7. Oct 31, 2007 #6
    Well, I feel somewhat better. LOL!!

    Thanks for the help!
     
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