Question

What is `int x-4x^2dx`?

Answer 1

`1/2x^2-4/3x^3+c`

Explanation:

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

`color(red)(|bar(ul(color(white)(a/a)color(black)(int(ax^n) dx=a/(n+1)x^(n+1))color(white)(a/a)|)))`

`rArrint(x-4x^2)dx=1/2x^2-4/3x^3+c`

where c is constant of integration.