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Stuck on the integration. Help me please!

  1. Jun 1, 2012 #1
    1. The problem statement, all variables and given/known data

    Hello! I am in the middle of the integration process. Can you give me suggestions on how to simplify the last equation? Thank you!

    Please see the attached snapshot of my work.
     

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  2. jcsd
  3. Jun 1, 2012 #2
    If I do some algebra, I get

    (a+b)^3 - (a-c)^3 = 3a^2(b-c) +3a(b^2-c^2) +b^3-c^3

    Does that help?
     
  4. Jun 1, 2012 #3
    Hi! I did it and it yields results different from the book answer.
    Can here be a simpler method of simplification?
     
  5. Jun 1, 2012 #4
    I just glanced at the problem but I think this really very extremely super-duper basic elementary algebra trick would help:

    $$ x^3-y^3=(x-y)(x^2+xy+y^2$$
     
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