What is the integral of a cumulative distribution function?
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.
What is an integral number? - Mathematics Stack Exchange
Oct 31, 2020 · In normal use, integral length would be equal to some integer, while unit length would be of length $1$ (see "unit number" here). Presumably the author meant, "in the unit ( with a different meaning! ) we use to measure lengths, these lengths are integer-valued".
What is the integral of 1/x? - Mathematics Stack Exchange
Jan 20, 2021 · $\begingroup$ "Answers to the question of the integral of 1x are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers" --- not completely correct: if they are both negative it also works. This is an improper integral and does not converge in the remaining cases. $\endgroup$ –
Newest 'integration' Questions - Mathematics Stack Exchange
For questions about the properties of integrals. Use in conjunction with (indefinite-integral), (definite-integral), (improper-integrals) or another tag(s) that describe the type of integral being considered. This tag often goes along with the (calculus) tag.
What is the integral of - Mathematics Stack Exchange
Oct 12, 2017 · This integral is one I can't solve. I have been trying to do it for the last two days, but can't get success. I can't do it by parts because the new integral thus formed will be even more difficult to solve. I can't find out any substitution that I can make in this integral to make it simpler. Please help me solve it.
What is the integral of 0? - Mathematics Stack Exchange
The integral of 0 is C, because the derivative of C is zero. Also, it makes sense logically if you recall the fact that the derivative of the function is the function's slope, because any function f(x)=C will have a slope of zero at point on the function.
calculus - Is there really no way to integrate $e^{-x^2 ...
$\begingroup$ @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 dummy variable, move the dummy copy into the first integral to get a double integral.
calculus - relation between integral and summation - Mathematics …
Aug 21, 2012 · Well, the linearity just follows from the fact that you can swap integral and the sum (i.e. these two operators commute) - but an extremely important fact that the sum is a special case of an integral, and the integral is a limit of sums is not used there.
solving the integral of $e^{x^2}$ - Mathematics Stack Exchange
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 functions such as $\frac{x^3}{3} +C$. However, the indefinite integral from $(-\infty,\infty)$ does exist and it is $\sqrt{\pi}$ so explicitly:
What is $dx$ in integration? - Mathematics Stack Exchange
The indefinite integral expression is a large expression organizing several pieces of information: $$ \color{blue}\int \color{red}{\underline{\quad}} \color{green}d \color{purple}{\underline{\quad}} $$ The blue $\int$ is a symbol expressing that this is an integral expression. The rest of the expression is the integrand.