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Substitution in Indefinite Integral

  1. Jul 22, 2010 #1
    1. The problem statement, all variables and given/known data

    I started the problem, got stuck.

    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Jul 22, 2010 #2
    Take the constants out of the integral and solve,

    [tex]\frac{1}{2}\int \frac{du}{1 + u^{2}} = \frac{1}{2}tan^{-1}(u) + C [/tex]

    Since,

    [tex] u = x^{2} [/tex]

    Then,

    [tex]\frac{1}{2}tan^{-1}(u) + C = \frac{1}{2}tan^{-1}(x^{2}) + C[/tex]
     
  4. Jul 22, 2010 #3
    Oh snap, that was easy.
    Thank you!
     
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