What is the integral of (x^2-8)/(x+3)dx

What is the integral of [(x^2-8)/(x+3)]dx? I've been stuck on this problem for a couple hours. I know it's something simple that is completely going over my head, but I really need it done by tonight. I already know what the answer is. Im not looking for the answer I'm looking how to solve the problem step by step. The answer to the problem is (x^2)/2 - 3x + ln|x+3| + C. The problem is supposed to be solved by trigonometric substitutions. I posted an image to show how the problem is supposed to look like. This is my failed attempt. Sorry if it looks messy, I wrote it not expecting to show anyone. Thanks

  • Sorry I posted the wrong problem. The problem is actually the integral of [1/((4+x^2)^2)]dx

  • Oh and it looks like I posted the wrong answer to the problem as well. Sorry my brain is feeling overwhelmed recently with all the math work. The answer to the problem is actually 1/16 arctan(x/2) + (x(4+x^2))/8 + C


Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer

1 Attachment

The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to 50% commission on every question your affiliated users ask or answer.