integrals background

integrals

/ˈɪntɪɡrəlz/ /ˈɪntɪɡəlz/

Illustration integrals - Image 1

noun

Integral

A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.

Examples :

"The integral of xmapsto x^2 on [0,1] is rac{1}{3}."

La integral de xmapsto x^2 en [0,1] es 1/3.

math number science technical

Illustration integrals - Image 1

noun

Integral definida, límite de sumas

A definite integral, a limit of sums.

Examples :

"To calculate the total amount of water collected during the rain, we can use integrals to add up the rainfall amounts over very short intervals of time. "

Para calcular la cantidad total de agua recogida durante la lluvia, podemos usar integrales definidas para sumar las cantidades de lluvia en intervalos de tiempo muy cortos.

Illustration integrals - Image 1

noun

Primitiva

Antiderivative

Examples :

"The integral of x^2 is rac{x^3}{3} plus a constant."

La primitiva de x^2 es x^3/3 más una constante.