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Math Help - Can somebody help me on integration?

  1. #1
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    Question Can somebody help me on integration?

    how do i integrate this? : t / (t+88) ?? i could rewrite it like this : 1 - (88/t+88) but i dont know how to integrate that. i dont think i can substitude anything.
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  2. #2
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    Re: Can somebody help me on integration?

    let u = t + 88, then, du = dt,

    so expression is now (u-88)/u .du, or (1 - 88/u)du

    now this is simple to integrate.
    dont forget to sub back in after integration
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  3. #3
    MHF Contributor ebaines's Avatar
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    Re: Can somebody help me on integration?

    Substitute u = t+88:

    t = u-88
    du = dt

    \int \frac {t}{t+88} dt = \int \frac {u-88}{u} du = \int (1 - \frac {88} u) du

    = u - 88 \ln (u) = t+88-88 \ln (t+88)
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  4. #4
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    Re: Can somebody help me on integration?

    thank u but i dont get how did u go from INT( 1 - 88/u ) du to u - 88*ln(u) ?
    which formula did u use, i cant find it on integral table
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  5. #5
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    Re: Can somebody help me on integration?

    factor out 88 so u have 88(int) 1/u which is in is the natural log of u. In tables too. Please thank me
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  6. #6
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    Re: Can somebody help me on integration?

    oh i got it u take 88 out of integral
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