I need to find the integral:

Question

int:(x^2+2x+3)/(x^3+3x+9) dx

I think I am supposed to use the rule: int:1/u du=ln|u|+C

But I don't know what to do first.

Thanks for your help! :-)

Oh- and the answer the back of my book gives is (1/3)ln|x^3+3x^2+9x|+C

Answer 1

This is an integral in the form of

INT f'(x)/f(x) dx

it integrates to ln |(f(x))|

http://en.wikipedia.org/wiki/Table_of_integrals

Answer 2

Thanks for your help! :-)

I think I got the answer!

Thanks1