Monday, 29 July 2013

integration - Justification for u-substitution method

I am currently learning how to find antiderivatives using the "u-substitution" or "integration by substitution" method. A key component of this is setting some expression in the indefinite integral as "u", and then also finding du/dx.



How can we then write du=dx (some expression)? Isn't du/dx defined as the derivative of u and is not a fraction?

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