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simple antiderivative

  • To: mathgroup at smc.vnet.net
  • Subject: [mg68104] simple antiderivative
  • From: "T Harris" <tdh1967 at bellsouth.net>
  • Date: Mon, 24 Jul 2006 00:55:46 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

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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