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TaylorWatts
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Just need to know a definition :/
|dx| vs dx in an integral - can someone explain the difference to me?
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In summary, the |dx| notation in an integral represents the absolute value of the differential element, while dx represents the differential element itself. It is important to use the correct notation as it can affect the result of the integral, with |dx| being used when taking the absolute value of a function or when evaluating multiple integrals with a specific order of integration. Carefully reading and understanding the context of the integral will help determine when to use |dx| or dx.
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tiny-tim
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Hi TaylorWatts! 
I've never seen |dx| in an integral.
I've never seen |dx| in an integral.
Can you give a link to an example?
FAQ: |dx| vs dx in an integral - can someone explain the difference to me?
What does |dx| mean in an integral?
The |dx| notation represents the absolute value of the differential element, indicating that the value of dx should always be positive. It is commonly used when dealing with integrals that involve taking the absolute value of a function.
What does dx mean in an integral?
The dx notation represents the differential element, which is a small change in the variable of integration. It is used to indicate the variable with respect to which the integration is being performed.
Is there a difference between |dx| and dx in an integral?
Yes, there is a difference. The |dx| notation indicates the absolute value of the differential element, while dx represents the differential element itself. This difference is important when dealing with integrals involving absolute values or when evaluating multiple integrals.
When should I use |dx| instead of dx in an integral?
You should use |dx| instead of dx when the integral involves taking the absolute value of a function, or when evaluating a multiple integral where the order of integration matters. Using the wrong notation can lead to incorrect results.
How can I tell when to use |dx| or dx in an integral?
It is important to carefully read the integral and understand its context. If the integral involves taking the absolute value of a function or if it is a multiple integral where the order of integration matters, then you should use |dx|. Otherwise, dx is the appropriate notation to use.