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Find the indefinite integral

  1. Apr 19, 2015 #1
    1. The problem statement, all variables and given/known data
    Find the indefnite integral using trig substitution.
    ∫[(x^2) / (1+x^2)]dx

    2. Relevant equations
    ---

    3. The attempt at a solution
    5o8575.jpg
     
  2. jcsd
  3. Apr 20, 2015 #2
    The denominator should be ##sec^2(\theta)## so all you left with is ##\int tan^2\theta d\theta##. To calculate that make the substitution ##x=tan\theta## and notice that ##dx=(1+tan^2\theta)d\theta##.
     
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