Feb 27, 2019 · I cannot find what is the integral of a cumulative distribution function $$\\int G(\\xi)d\\xi$$ I think it should be simple, but I have no idea where else to look for it.

Sep 24, 2014 · The technique had the added advantage of being simple, requiring only slightly more effort to learn than the Riemann integral. There was in fact a (failed) movement to …

The $\Sigma$ sign is a sigma and stands for "sum". In an integral you take the limit as $\delta x$ goes to zero. So we replace the sigma with another type of s: $\int$. And the $\delta$ gets …

Mar 21, 2015 · The integral can also be solved using complex analysis methods, but I was going on the assumption you aren't knowledgible on complex function theory. If you're interested in …

Feb 21, 2018 · I was trying to do this integral $$\int \sqrt{1+x^2}dx$$ I saw this question and its' use of hyperbolic functions. I did it with binomial differential method since the given integral is …

Mar 13, 2016 · How can I evaluate ; $$\int \frac{\cos(x)}{x} \, dx $$ I tried to do partial integration but it became to an infinite loop of partial integrations

$\begingroup$ @user599310, I am going to attempt some pseudo math to show it: $$ I^2 = \int e^-x^2 dx \times \int e^-x^2 dx = Area \times Area = Area^2$$ We can replace one x, with a …

The integral which you describe has no closed form which is to say that it cannot be expressed in elementary functions. For example, you can express $\int x^2 \mathrm{d}x$ in elementary …

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There are many definitions of the integral, including the Riemann integral, the Riemann-Stieltjes integral (which generalizes and expands upon the Riemann integral), and the Lebesgue …