integrals background

integrals

/ˈɪntɪɡrəlz/ /ˈɪntɪɡəlz/

Illustration integrals - Image 1

noun

Интеграл

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}."

Интеграл от xmapsto x^2 на [0,1] равен 1/3.

math number science technical

Illustration integrals - Image 1

noun

Определенный интеграл, предел сумм

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. "

Чтобы вычислить общее количество воды, собранной во время дождя, мы можем использовать определенные интегралы, чтобы сложить количество осадков за очень короткие промежутки времени.

Illustration integrals - Image 1

noun

Первообразная

Antiderivative

Examples :

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

Первообразная от x^2 равна x^3/3 плюс константа.