Вычислите неопределённый интеграл от функции 3x^2 dx.

Тест по неопределённым интегралам

Quiz
•
Mathematics
•
12th Grade
•
Hard
No Name
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3x^3 + C
x^2 + C
x^3 + C
6x + C
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Используя метод подстановки, найдите неопределённый интеграл от функции sin(2x) dx.
-cos(2x) + C
cos(2x) / 2 + C
-cos(2x) / 2 + C
-sin(2x) / 2 + C
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Найдите интеграл от функции cos^2(x) dx.
0.5 * x + 0.25 * cos(x) + C
0.5 * x + 0.25 * sin(2x) + C
0.5 * x + 0.25 * tan(2x) + C
0.5 * x + 0.25 * cos(2x) + C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Используя тригонометрическую подстановку, найдите интеграл от функции (1 + tan(x))^2 dx.
tan(x) + 2tan^2(x) + tan^3(x) / 4 + C
tan(x) + 2tan^2(x) + tan^3(x) / 5 + C
tan(x) + 2tan^2(x) + tan^3(x) / 2 + C
tan(x) + 2tan^2(x) + tan^3(x) / 3 + C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Используя метод подстановки, найдите интеграл от функции 2x sin(x^2) dx.
-sin(x^2) + C
2cos(x^2) + C
x^2cos(x^2) + C
-cos(x^2) + C
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