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- What is $dx$ in integration? - Mathematics Stack Exchange
If f(x) f (x) is in meters per second and dx d x is in seconds, then f(x)dx f (x) d x is in meters, and so is the integral These things should be dimensionally correct, and are not so without the " dx d x " 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 d x
- 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
- Understanding the differential $dx$ when doing $u$-substitution
Here, δn =xn −xn−1 δ n = x n x n 1 is providing some measure of how important the bit of space between xn−1,xn x n 1, x n is in computing the integral The dx d x is what keeps track of that information Suppose you then try u =x2 u = x 2 or x = u−−√ x = u Then in general
- Is There a Difference Between $d^2x$ and $(dx)^2$?
Here, (dx)2 means dx ∧ dx, and the fact that it vanishes comes from the fact that the exterior algebra is anti-commutative In other words, formally we have d2x = 0 and (dx)2 = 0 but for two different reasons
- The difference between $\\Delta x$, $\\delta x$ and $dx$
Δx Δ x, δx δ x and dx d x are used when talking about slopes and derivatives But I don't know what the exact difference is between them
- Integration by parts: $x f (x) dx$ - Mathematics Stack Exchange
Observe that the right-hand side remains the same if you replace $F$ by $F+c$ It does not matter which antiderivative you pick
- How to integrate - dx$? - Mathematics Stack Exchange
Possible Duplicate: Indefinite integral of secant cubed How to integrate $\\sec^3 x \\, dx$? Can someone please give a method, I tried separating $\\sec^3 x$ as $\\sec x(\\sec^2 x)$ then applying by
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