Главная
/
Математика
/
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

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 .