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We've just begun integration in my maths class and I have a question about a certain aspect of integration by substitution.

Let's say for instance you let u = 2x-1. Then you differentiate it and get du/dx = 2.

My maths teacher said " you can now think of it as multiplying across by 'dx' ".

Which leads to du = 2dx.

My question is, what mathematical operations are you actually committing to achieve this line?

Thanks in advance for any help.

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# A simple question about integration by substitution

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