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Math Help - Integral help?

  1. #1
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    Integral help?

    Would anyone be able to help me figure out the integral of x/x-1 dx? The "integral sign" if you will has a 5 at the top and a 2 at the bottom.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by shade View Post
    Would anyone be able to help me figure out the integral of x/x-1 dx? The "integral sign" if you will has a 5 at the top and a 2 at the bottom.
    please use parentheses!

    do you mean \int_2^5 \frac x{x - 1}~dx?

    if so, you should have typed: x/(x - 1)

    anyway, note that \frac x{x - 1} = \frac {x - 1 + 1}{x - 1} = \frac {x - 1}{x - 1} + \frac 1{x - 1} = 1 + \frac 1{x - 1}

    so, your integral is: \int_2^5 \left( 1 + \frac 1{x - 1}\right)~dx

    can you continue?
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  3. #3
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    Yup, I think I got! To save myself typing out all the calculations I'll just say I got 3 + ln4 and hope whoever else attempted this did too!

    Sorry about the lack of parentheses. Clearly multitasking is not my forte!

    Edit: To emphasize that point I forgot to say thank you! So thanks.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by shade View Post
    Yup, I think I got! To save myself typing out all the calculations I'll just say I got 3 + ln4 and hope whoever else attempted this did too!

    Sorry about the lack of parentheses. Clearly multitasking is not my forte!

    Edit: To emphasize that point I forgot to say thank you! So thanks.
    correct
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