Вопрос
Select all expressions matching the value of indefinite integral int x^2(1-2x+x^2)dx √ (x^3(6x^2-15x+10))/(30)+C (x^3)/(3)(-x^2+(x^3)/(3))+C -(x^4)/(2)+(x^5)/(5)+C (x^3)/(3)-(x^4)/(2)+(x^5)/(5)+C
Решения
4.2
(87 Голоса)
Эльвира
Экспертная проверка
эксперт · Репетитор 3 лет
Ответ
To find the indefinite integral
, we can first simplify the integrand by expanding the expression inside the parentheses:
Now, we can integrate each term separately:
Integrating each term, we get:
Simplifying the expression, we have:
Therefore, the correct answer is
.