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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

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 .