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 …

Jan 20, 2021 · 16 Answers to the question of the integral of 1 x 1 x are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers. If we allow …

Jan 7, 2026 · A closed form for an integral involving arcsin and a square-root Ask Question Asked 12 days ago Modified 11 days ago

Oct 17, 2017 · The integral of every polynomial type function is another polynomial type function, unless, of course, our polynomial type function has 1 x 1 x in it. In that case, our integral is obviously lnx ln x.

Today, in my calculus class, we encountered the function e−x2 e x 2, and I was told that it was not integrable. I was very surprised. Is there really no way to find the integral of e−x2 e x 2? Graphing …

Definite integrals of that function are found by numerical methods rather than by finding a closed-form antiderivative. In exercises of this kind usually one gets the value of the integral either from software …

Dec 15, 2017 · A different type of integral, if you want to call it an integral, is a "path integral". These are actually defined by a "normal" integral (such as a Riemann integral), but path integrals do not seek to …

Oct 11, 2025 · However, one "intrinsic integral closure" that is often used is the normalization, which in the case on an integral domain is the integral closure in its field of fractions. It's the maximal integral …

5 An integral domain is a ring with no zero divisors, i.e. xy = 0 ⇒ x = 0 or y = 0. x y = 0 ⇒ x = 0 o r y = 0 Additionally it is a widespread convention to disallow as a domain the trivial one-element ring (or, …

Feb 5, 2020 · An integral transform "maps" an equation from its original "domain" into another domain. Manipulating and solving the equation in the target domain can be much easier than manipulation …