Re: Integral problem
- To: mathgroup at smc.vnet.net
- Subject: [mg27905] Re: Integral problem
- From: "Paul Lutus" <nospam at nosite.com>
- Date: Fri, 23 Mar 2001 04:31:27 -0500 (EST)
- References: <99cigc$8jq@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
"Jose Lasso" <jml at accessinter.net> wrote in message news:99cigc$8jq at smc.vnet.net... > Hello, > > Well in my calculus class, I need to integrate the following expression: > (x^3/(x^4+x^2+1))dx, I solve the integral with Mathematica, but a few > classmates got a different answer using other symbolic algebra > system, the answers are totally different, the answer that my > classmates got is: > 1/4 Ln(x^4+x^2+1)-(Sqrt(3)/6) ArcTg((2x^2+1)/Sqrt(3)) is this the > correct answer?? First, we cannot compare your result with theirs because you didn't give us yours. The outcomes depend to a great extent on what options you gave to Mathematica. Here is one solution that makes no assumptions about the range of numerical values x can have: http://www.arachnoid.com/images/integral3.gif This result was computed with this entry: Integrate[x^3/(x^4+x^2+1),x]//FullSimplify//TraditionalForm Why not say what you got for the integral, and how you got it? -- Paul Lutus www.arachnoid.com
