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Re: simple antiderivative

  • To: mathgroup at smc.vnet.net
  • Subject: [mg68123] Re: [mg68104] simple antiderivative
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Tue, 25 Jul 2006 04:01:22 -0400 (EDT)
  • Reply-to: hanlonr at cox.net
  • Sender: owner-wri-mathgroup at wolfram.com

You entered a wrong expression. Use Sec[x]^2 vice Sec^2[x]

Integrate[8*x - 3*Sec[x]^2, x]

4*x^2 - 3*Tan[x]


Bob Hanlon

---- T Harris <tdh1967 at bellsouth.net> wrote: 
> Hello, I am a beginner with Mathematica and I am wrapping up Calculus 1 
> right now.  Here is my question.
> 
> I am doing antiderivatives and tried to check one I did and can't get my
> handworked answer which is correct by the solution manual to match 
> Mathematica's
> answer.  I copied and pasted everything here so it looks weird until you
> paste it back in notebook.
> 
> Here is my input copied and pasted;
> 
> \!\(Integrate[8 x - 3\ \(Sec\^2\)[x], x]\)
> 
> My output is :
> 
> \!\(\[Integral]\((8\ x - 3\ \(Sec\^2\)[x])\) \[DifferentialD]x\)
> 
> Why don't I get the answer below as I do when I do it by hand?  The
> antiderivative of Sec^2 is Tan.  I am puzzled by the output mathematica
> gives.
> 
> \!\(4  x\^2 - 3\ Tan\ [x]\)
> 
> 
> Thanks
> 
> T Harris 
> 


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