I was working out a problem and reached an answer of 3ln |x|+ (1/x)+ ln |x+1|

Question

The final given answer is (1/x) + ln |x^4 +x^3|
I see that the (1/x) carried over and I know how the x^3 got there, but I'm confused as to the x^4. Can someone kindly explain this to me?

Answer 1

3 ln x = ln x^3

ln x^3 + ln|x+1| = ln [x^3(x+1)]

= ln [x^4 + x^3]

Answer 2

Thanks Damon! My math skills are sadly not where they should be.

Answer 3

You are welcome.