Re: simple antiderivative
- To: mathgroup at smc.vnet.net
- Subject: [mg68129] Re: [mg68104] simple antiderivative
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Tue, 25 Jul 2006 04:01:28 -0400 (EDT)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- References: <200607240455.AAA25321@smc.vnet.net>
- Reply-to: murray at math.umass.edu
- Sender: owner-wri-mathgroup at wolfram.com
The correct syntax is Sec[x]^2 and not Sec^2[x]. If you use the former,
you get the expected answer for Integrate[8x-3Sec[x]^2, x], namely,
4*x^2 - 3*Tan[x].
By the way, please do not copy-paste all those "\!" and "\(", etc.,
markup characters into e-mail. Instead, use Mathematica's Edit > Copy
As ... menu command and copy as Plain Text. (For output, first use
InputForm on the entire expression so you'll get output without
superscripts, etc., that might not show up properly when you paste into
e-mail.)
T Harris 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
>
>
--
Murray Eisenberg murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
Amherst, MA 01003-9305
- References:
- simple antiderivative
- From: "T Harris" <tdh1967@bellsouth.net>
- simple antiderivative