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Math Help - Problem with an integral

  1. #1
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    Problem with an integral

    The integral is \int{\frac{1-3*x}{3+2*x}}dx.

    According to Maple I should first rewrite it as \frac{-3}{2} + \frac{11}{2}\frac{1}{3 + 2*x} and then solve it.
    My problem is that I don't know how to rewrite it, after that I can solve it (I know how to use the rules for integration) but how to get there?
    I would like a method which works all the time.
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  2. #2
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    Quote Originally Posted by Bart View Post
    The integral is \int{\frac{1-3*x}{3+2*x}}dx.

    According to Maple I should first rewrite it as \frac{-3}{2} + \frac{11}{2}\frac{1}{3 + 2*x} and then solve it.
    My problem is that I don't know how to rewrite it, after that I can solve it (I know how to use the rules for integration) but how to get there?
    I would like a method which works all the time.
    when the degree of the numerator \ge the degree of the denominator, perform long division.
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  3. #3
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    Problem solved.

    If I have a question about another integral, should I then post it in the same topic or make a new topic for it?
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  4. #4
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    Quote Originally Posted by Bart View Post
    Problem solved.

    If I have a question about another integral, should I then post it in the same topic or make a new topic for it?
    new thread
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