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Интеграл: правда или ложь

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Интеграл: правда или ложь

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About this activity

Проверка знаний по интегралам

Created by

Анара Рустем
Анара Рустем
Kazakhstan

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Интеграл: правда или ложь
 

Интеграл: правда или ложьOnline version

Проверка знаний по интегралам

by Анара Рустем
1

Линейность интеграла: ∫(αf(x)+βg(x)) dx = α∫f(x)dx + β∫g(x)dx.

2

Значения границ определённого интеграла зависят от выбранного интервала [a,b].

3

Определённый интеграл ∫_a^b f(x) dx представляет signed area под графиком функции на отрезке [a,b].

4

Метод интегрирования по частям непригоден к степенным функциям.

5

Неопределённый интеграл всегда даёт конкретное числовое значение без добавления константы.

6

Определённый интеграл ∫_a^b f(x) dx всегда положителен, независимо от знака f(x).

7

Неопределённый интеграл — это семейство антидеривативов функции; F'(x)=f(x).

8

Любая функция имеет определённый интеграл на любом интервале без ограничений.

9

Интеграл Фурье равен нулю для любой функции без доказательства.

10

Интегрирование можно выполнять с помощью подстановки и по частям.

 
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