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

To find the indefinite integral of the given expression, we need to integrate the function \(x^2(1-2x+x^2)\) with respect to .Let's break down the expression inside the integral: Now, we integrate each term separately: Integrating each term: Combining these results, we get: Therefore, the correct answer is: So, the correct option is: