Вопрос
Select all expressions metching the value of indefinite integral int (2x)/(3)(3x^2-1)dx (x^2)/(3)(x^3-x)+C (x^2)/(3)(x^2-1)+C (x^4)/(2)-(x^2)/(3)+C
Решения
4.4
(166 Голоса)
Сергей
Экспертная проверка
элита · Репетитор 8 лет
Ответ
To find the indefinite integral of the given expression, we can use the power rule for integration.The power rule states that the integral of x^n dx is (x^(n+1))/(n+1) + C, where C is the constant of integration.Let's apply the power rule to each term in the expression:
=
=
=
=
Therefore, the correct answer is
.