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Math Help - Integration problem

  1. #1
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    Integration problem

    Hi,

    I have a problem with this integration problem.If I have to integrate log_e(j^3) dj what method cna I use?..

    Thanks,
    NS
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by NidhiS View Post
    Hi,

    I have a problem with this integration problem.If I have to integrate log_e(j^3) dj what method cna I use?..

    Thanks,
    NS
    note that you have 3 \int \ln j ~dj

    there are tons of ways to do this integral and they have been done on this site several times. you can do a search if you are so inclined. but i will tell you the conventional way to proceed. use integration by parts with u = \ln j and dv = dx

    recall the formula: \int u~dv = uv - \int v~du
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  3. #3
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    I get it but What I dont understand is how did u pull out that 3?
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    Quote Originally Posted by NidhiS View Post
    I get it but What I dont understand is how did u pull out that 3?
    Because \log x^3 = 3\log x.
    This is one of rules of logarithms.
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