Question

How do you find the indefinite integral of `int (x^4-x^3+x^2)dx`?

Answer 1

`1/5x^5-1/4x^4+1/3x^3+c`

Explanation:

Integrate each term using the `color(blue)"power rule for integration"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(int(ax^n)=a/(n+1)x^(n+1);n≠-1)color(white)(2/2)|)))`

`rArrint(x^4-x^3+x^2)dx`

`=1/5x^5-1/4x^4+1/3x^3+c`

where c is the constant of integration.