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Math Help - Indefinite integral

  1. #1
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    Indefinite integral

    I solved this but my answer differs from the correct answer in my solution manual

    integral (x-1)^2

    I expanded the integrand and got x^2-2x+1 so I separated the integral into three for each term and got the different answer.

    The correct answer says (x-1)^3/3

    Why didnt my method work?
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  2. #2
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    Quote Originally Posted by swimmergirl View Post
    I solved this but my answer differs from the correct answer in my solution manual

    integral (x-1)^2

    I expanded the integrand and got x^2-2x+1 so I separated the integral into three for each term and got the different answer.

    The correct answer says (x-1)^3/3

    Why didnt my method work?
    If you have correctly done what you say you've done then your answer will factorise into the given answer.

    Note: \int \! (ax + b)^n \, dx = \frac{1}{a} \cdot \frac{1}{(n+1)} (ax + b)^{n+1} + C provided n \neq -1.
    Last edited by Jhevon; April 11th 2009 at 11:04 PM. Reason: fixed typo
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