Question

How do you integrate `int (x+3)dx`?

Answer 1

`1/2x^2+3x+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(x+3)dx`

`=1/2x^2+3x+c`

where c is the constant of integration.

`color(blue)"Note "3=3x^0rArrint3x^0dx=3x`