Answer by Markus Scheuer for The meaning of $dx$ in an indefinite integral
An explanation is given in section 2.9 Fundamental Theorems of the Calculus in Introduction to Calculus and Analysis I by R. Courant and F. John.It is quite customary to use a notation which is not...
View ArticleAnswer by GEdgar for The meaning of $dx$ in an indefinite integral
RemarkIn mathematics it may be that "$\int$" and "$dx$" are considered to be brackets, inclosing the integrand:$$\int f(x)\;dx$$In physics it may be that "$\int dx$" is used as an operator, so it...
View ArticleThe meaning of $dx$ in an indefinite integral
This semester I'm taking integral calculus for the first time. We started with the differential (i.e. $dy=f'(x)\,dx$) and right after that with the indefinite integral. Since then, I've been trying to...
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