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Math Help - Integration help

  1. #1
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    Integration help

    I'm having trouble remembering how to take the integral of

    f(x) = (1 - ax) / bx , where a and b are constants.

    Any help would be good.

    Thanks,

    Brett
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  2. #2
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    Quote Originally Posted by charps43
    I'm having trouble remembering how to take the integral of
    f(x) = (1 - ax) / bx , where a and b are constants.
    Any help would be good.
    Thanks,
    Brett
    Hello,

    1. Expand the RHS of the equation:
    f(x)=\frac{1-ax}{bx}=\frac{1}{b} \cdot \frac{1}{x} - \frac{ax}{bx}. Don't forget to simplify the 2nd summand.

    \int \left( \frac{1}{b} \cdot \frac{1}{x} - \frac{a}{b} \right) dx=\frac{1}{b} \cdot \ln(x)- \frac{a}{b} \cdot x + C

    Greetings

    EB
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