# Tagged Questions

Concerns all aspects of integration, including the integral definition and computational methods. For questions solely about the properties of integrals, use in conjunction with (indefinite-integral), (definite-integral), (improper-integrals) or another tag(s) that typically describe(s) the types of ...

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### Generalised integral

I want to carry the notion of Riemann integration to a more general setting. I have already given the following axioms on area function defined on an arbitrary Cartesian product: Let $X$ and $Y$ be ...
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### Derivation of an integration

Can someone explain to me the difference between the results of $A$ and $B$, where $$A=\frac{d}{dc} \int_{-\infty}^c xf(x) dx$$ $$B= \frac{d}{dc} \int_c^{+\infty} xf(x) dx$$ You can image $f(x)$ ...
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### Proving the Tautochrone Property

The tautochrone property (meaning equal time) is one of the dynamic properties of an inverted cycloid. This means that if one puts two objects at different positions on a inverted cycloidial shaped ...