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    I was checking out a book on calculus, and it had an integral in the form

     \displaystyle\int \dfrac{\mathrm d x}{x} , but I thought that the correct notation to use was  \displaystyle\int \dfrac{1}{x}\: \mathrm d x

    Is multiplying dx into the fraction allowed, and are there any benefits to writing it in this form?
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    (Original post by majmuh24)
    I was checking out a book on calculus, and it had an integral in the form

     \displaystyle\int \dfrac{\mathrm d x}{x} , but I thought that the correct notation to use was  \displaystyle\int \dfrac{1}{x}\: \mathrm d x

    Is multiplying dx into the fraction allowed, and are there any benefits to writing it in this form?
    Both forms are fine. They are identical. The first is slightly more succinct.
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    (Original post by Mr M)
    Both forms are fine. They are identical. The first is slightly more succinct.
    OK, but doesn't the first form kind of imply that dx is a term that is multiplied into the integral (which I guess it kind of is in a way), when it is actually an operator?
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    (Original post by majmuh24)
    OK, but doesn't the first form kind of imply that dx is a term that is multiplied into the integral (which I guess it kind of is in a way), when it is actually an operator?
    No it doesn't imply that. It's simply a quicker way of writing the integral.
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    (Original post by Liamnut)
    No it doesn't imply that. It's simply a quicker way of writing the integral.
    K.
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    Pedant.
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    (Original post by Khallil)
    Pedant.
    That shameless thread bumping :colone:

    You're one to talk!
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    (Original post by Arithmeticae)
    That shameless thread bumping :colone:

    You're one to talk!
    Hahahaha! The pot and kettle come to mind!
 
 
 
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