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# Multiplying dx into integral watch

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

, but I thought that the correct notation to use was

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

, but I thought that the correct notation to use was

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.
3. (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?
4. (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.
5. (Original post by Liamnut)
No it doesn't imply that. It's simply a quicker way of writing the integral.
K.
6. Pedant.
7. (Original post by Khallil)
Pedant.

You're one to talk!
8. (Original post by Arithmeticae)

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

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