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
Erdos
4.7K
-
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
- 709 views
- $2.00
Related Questions
- Evaluate $\iint_D (x^2+y^2)^{3/2}dxdy$
- Prove that $\int _0^{\infty} \frac{1}{1+x^{2n}}dx=\frac{\pi}{2n}\csc (\frac{\pi}{2n})$
- Please answer the attached question about Riemann integrals
- Find the total length of $r=e^{- \theta}$ , $\theta \geq 0$
- Evaluate $\iint_{\partial W} F \cdot dS$
- Use Stokes’ Theorem to calculate $\iint_{S} \nabla \times V· dS$ on the given paraboloid
- Find the arc length of $f(x)=x^{\frac{3}{2}}$ from $x=0$ to $x=1$.
- Epsilon-delta definitoon of continuity for $f : x → x^3$
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