Question

What is the Integral of `(x+1)/x dx`?

Answer 1

Not many people realize this, but the key to doing this is to separate it using the additive properties of integrals.

`int (x+1)/xdx`

`= int cancel(x/x)dx + int 1/xdx`

`= int dx + int 1/xdx`

`= color(blue)(x + ln|x| + C)`

where you'll have to remember that the integral of `1/u((du)/(dx))` is `ln|u|`. You'll see it a lot more later.