Substitution in Indefinite Integral

  • Thread starter phillyolly
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  • #1
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Homework Statement



I started the problem, got stuck.

Homework Equations





The Attempt at a Solution

 

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  • #2
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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]
 
  • #3
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Oh snap, that was easy.
Thank you!
 

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