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- 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
- 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
These things should be dimensionally correct, and are not so without the " dx dx " Sometimes one has a dot-product or a cross-product or a matrix product or some other sort of product between f(x) f(x) and dx dx How would one specify that without the " dx dx " written there? When doing substitutions, it becomes important to distinguish
- What do the symbols d dx and dy dx mean? - Mathematics Stack Exchange
Okay this may sound stupid but I need a little help What do $\Large \frac {d} {dx}$ and $\Large \frac {dy} {dx}$ mean? I need a thorough explanation Thanks
- Integrating $\int \sin^n {x} \ dx$ - Mathematics Stack Exchange
I am working on trying to solve this problem: Prove: $\\int \\sin^n{x} \\ dx = -\\frac{1}{n} \\cos{x} \\cdot \\sin^{n - 1}{x} + \\frac{n - 1}{n} \\int \\sin^{n - 2}{x
- calculus - Finding $\int x^xdx$ - Mathematics Stack Exchange
These identities for dx d x and dx d x are sometimes called the "sophomore's dream" Look that up on Wikipedia May 9, 2012 at 8:04 How do you know it's legal to switch the summation and the integral? I know you can do it with finite sums but I thought there were certain conditions under which it invalid to switch them Nov 20, 2019 at 13:00
- 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
- Understanding the differential $dx$ when doing $u$-substitution
I just finished taking my first year of calculus in college and I passed with an A I don't think, however, that I ever really understood the entire $\\frac{dy}{dx}$ notation (so I just focused on
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