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
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment

4.8K
-
Well.. guess you did it
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 1067 views
- $2.00
Related Questions
- I need help with the attched problem about definite integrals
- Explain partial derivatives v2
- Are my answers correct
- Use Green’s theorem to evaluate the line integral $\int_C (1+xy^2)dx-x^2ydy$ on the arc of a parabola
- Find the equation of the tangent line through the function f(x)=3x$e^{5x-5} $ at the point on the curve where x=1
- How to recalculate 2D polygon side lengths when tilt is applied in 3D space?
- Calculus on Submanifolds Challenge
- Velocity of a rock
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