Homework Help: AP Calculus

Posted by Corin on Sunday, October 7, 2007 at 6:30pm.

I need to find the integral:
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

AP Calculus - bobpursley, Sunday, October 7, 2007 at 7:03pm
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
- AP Calculus - Corin, Sunday, October 7, 2007 at 10:53pm
  Thanks for your help! :-)
  
  I think I got the answer!
  
  Thanks1

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