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Re: simple antiderivative

  • To: mathgroup at smc.vnet.net
  • Subject: [mg68120] Re: simple antiderivative
  • From: Peter Pein <petsie at dordos.net>
  • Date: Mon, 24 Jul 2006 05:52:28 -0400 (EDT)
  • References: <ea1nh0$pjt$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

T Harris schrieb:
> 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 
> 

Hello,

if you put the square at the syntactically correct position (Integrate[8x-3 Sec[x]^2,x]), Mathematica returns exactly your desired result.

Peter


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