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Why does U-substitution for integration work?
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Why not?
are you looking for an explanation in simple terms, or a formal answer for a homework assignment?
An explanation in simple terms please.
Alright, just a moment.
If we take a problem such as \[\int\limits_{1}^{3} \frac{ 2x }{ x^{2}+1 }dx\] it would be time consuming to solve properly, yes?
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yes, definitely.
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