`Integral(f(x), For(x, a, b))`, rendered as $\int_{a}^{b} f(x) \, dx$, represents the integral of $f(x)$ from $a$ to $b$. The order is significant: $\int_{a}^{b} f(x) \, dx = -\int_{b}^{a} f(x) \, dx$.

`Integral(f(x), ForElement(x, S))`, rendered as $\int_{x \in S} f(x) \, dx$, represents the integral of $f(x)$ over the set $S$.

The special expression

`For(x, a, b)`or`ForElement(x, S)`defines a locally bound variable.The precise class of integrals allowed by this operator is yet to be defined, but should normally encompass Lebesgue integrals.

The integrand is allowed to be undefined on a subset of measure of zero.

Definitions:

Fungrim symbol | Notation | Short description |
---|---|---|

Integral | $\int_{a}^{b} f(x) \, dx$ | Integral |

Source code for this entry:

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