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Math Help - definite integral of a absolute value

  1. #1
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    definite integral of a absolute value

    How do I intergrate this probelm?
    intergel{ absolute value of (1-4x/1+3x)} dx
    The professor said it was a simple algerbra trick but I'm not seeing it.
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  2. #2
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    Recall \int |x|dx = \frac{x|x|}{2}

    and \frac{1-4x}{1+3x} = \frac{-4}{3}+\frac{7}{3(3x+1)}
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  3. #3
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    Quote Originally Posted by joe45 View Post
    How do I intergrate this probelm?
    intergel{ absolute value of (1-4x/1+3x)} dx.
    We need to know the limits of integration. From what to what?
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