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Simple Integration question.

  1. Aug 16, 2011 #1
    If one could just explain how the attached answer below was derived I would be greatful. Thanks!
     

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  2. jcsd
  3. Aug 16, 2011 #2
    By being very careful with your minus signs! What did you try? Remember that 'a' is a constant and you are integrating with respect to 'x'.
     
  4. Aug 16, 2011 #3

    dynamicsolo

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    The anti-derivative function is [tex]a^{2}x - \frac{1}{3} x^{3} .[/tex] You then evaluate it at x = a and x = -a (or at x = a and double the result, since the integrand function is symmetrical about the y-axis [the anti-derivative is zero at x = 0 ] ).
     
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