integral of x-3 divided by x into dx

Question

∫ X-3

____ dx =

X

Answer 1

I would recommend breaking up the fraction first.

∫ (x-3)/x dx = ∫ (x/x - 3/x) dx = ∫ (1 - 3/x ) dx

You can then break up the integral into two integrals.

∫ 1dx - ∫3/x dx

Then, integrate.

x -3 ln(x) + C

Hope this helps.