Question

How do you integrate `(-6x-7x^2) dx`?

Answer 1

`-3x^2-7/3x^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)dx=a/(n+1)x^(n+1))color(white)(2/2)|)))`

`rArrint(-6x-7x^2)dx`

`=(-6)/2x^2-7/3x^3+c=-3x^2-7/3x^3+c`

where c is the constant of integration.