Контрольная работа по теме Первообразная и интеграл

Контрольная работа по теме «Интеграл».


Вариант 1 Вариант 2

1. Найдите первообразные для функций:

а) 13 EMBED Equation.3 1415
б)13 EMBED Equation.3 1415
в)13 EMBED Equation.3 1415
а) 13 EMBED Equation.3 1415
б)13 EMBED Equation.3 1415
в)13 EMBED Equation.3 1415



2. Вычислите интеграл:

а)13 EMBED Equation.3 1415 ; б)13 EMBED Equation.3 1415; в)13 EMBED Equation.3 1415
а)13 EMBED Equation.3 1415 ; б)13 EMBED Equation.3 1415; в)13 EMBED Equation.3 1415



3. Для функции 13 EMBED Equation.3 1415 найдите первообразную, график которой проходит через точку 13 EMBED Equation.3 1415:

а)13 EMBED Equation.3 1415 13 EMBED Equation.3 1415
б)13 EMBED Equation.3 1415 13 EMBED Equation.3 1415
а)13 EMBED Equation.3 1415 13 EMBED Equation.3 1415
б)13 EMBED Equation.3 1415 13 EMBED Equation.3 1415



4. Найдите площадь криволинейной трапеции, ограниченной прямыми 13 EMBED Equation.3 1415, 13 EMBED Equation.3 1415,
осью 13
· EMBED Equation.3 1415и графиком функции 13 EMBED Equation.3 1415:

а) 13 EMBED Equation.3 1415, 13 EMBED Equation.3 1415, 13 EMBED Equation.3 1415
б) 13 EMBED Equation.3 1415, 13 EMBED Equation.3 1415, 13 EMBED Equation.3 1415
а) 13 EMBED Equation.3 1415, 13 EMBED Equation.3 1415, 13 EMBED Equation.3 1415
б) 13 EMBED Equation.3 1415, 13 EMBED Equation.3 1415, 13 EMBED Equation.3 1415



5. Вычислите интеграл:

а)13 EMBED Equation.3 1415; б)13 EMBED Equation.3 1415
а)13 EMBED Equation.3 1415; б)13 EMBED Equation.3 1415


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