Question

How do you integrate `f(x)=x+1` using the power rule?

Answer 1

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

Explanation:

The `color(blue)"power rule for integration"` is.

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(intax^ndx=a/(n+1)x^(n+1))color(white)(2/2)|)))`

`rArrint(x+1)dx=int(x^1+x^0)dx`

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

where c, is the constant of integration.