Understanding the Output
- To: mathgroup at smc.vnet.net
- Subject: [mg32792] Understanding the Output
- From: "Steven Spear" <smitsky at mindspring.com>
- Date: Tue, 12 Feb 2002 06:23:44 -0500 (EST)
- Organization: MindSpring Enterprises
- Sender: owner-wri-mathgroup at wolfram.com
Hi. I'm having trouble understanding some output in Mathematica. If I enter Int [x-1] dx, the output I receive is ((-2/3) + (2x/3)) Sqrt(-1+x). If I do the calculation by hand, I get 2/3.(x-1)^3/2. If I perform: FullSimplify(((-2/3) + (2x/3)) Sqrt(-1+x)), I get the same answer (2/3.(x-1)^3/2). With trying to use u-substitution, and figuring more complex Integrals, it get harder to discern the output. For instance: I tried to evaluate the Integral Int [x^3 (1-x^4)^5] dx. I may not be correct, but by hand I got 1/24.(1-x^4)^6. Mathematica gave a very different output, and using FullSimplify didn't seem to help. Is there any way to get Mathematica to output these values a little differently? Am I incorrect on the second example? Any ideas will be appreciated. Thanks, Steve