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What does the dx mean in an integral? [duplicate] I know dy dx for example means "derivative of y with respect to x," but there's another context that confuses me You will generally just see a dx term sitting at the end of an integral equation an
What is $dx$ in integration? - Mathematics Stack Exchange The symbol used for integration, $\int$, is in fact just a stylized "S" for "sum"; The classical definition of the definite integral is $\int_a^b f (x) dx = \lim_ {\Delta x \to 0} \sum_ {x=a}^ {b} f (x)\Delta x$; the limit of the Riemann sum of f (x) between a and b as the increment of X approaches zero (and thus the number of rectangles approaches infinity)
What does $dx$ mean? - Mathematics Stack Exchange A "signed definite integral" for computing work and other "net change" calculations The value of an expression such as $\int_0^1 x^2\,dx$ comes out the same under all these interpretations, of course In more general settings, the three interpretations generalize in different ways, so that the "dx" comes to mean different things
ordinary differential equations - When to write $dx$ in . . . I'm taking differential equations right now, and the lack of fundamental knowledge in calculus is kicking my butt In class, my professor has done several implicit differentiations I realize that
Meaning of dx, dy, du (u-substitution) - Mathematics Stack Exchange I understand the meaning of $\frac {dy} {dx}$ and $\int f (x)dx$, but outside of that what do $dy, du, dx$ etc mean? When I took calc I, derivatives and integrals were given a definition, but these things were kind of skipped over
calculus - What is the true, formal meaning and reason for the dx . . . But then others told me that "dx" is part of what's being integrated, and they started saying that we're led to believe that its just a delimiter in early courses because it'd be impossible for teachers to introduce "differentials," which is what things like dx and du are, so u-substitution isn't just a mnemonic, and the multiplication is