topic Re: Symbolic solution of an integral in Mathcad

Symbolic solution of an integral

mbeaumont — Thu, 03 May 2018 13:14:00 GMT

Hi friends,

I have a quick query regarding symbolic solutions of integrals.

While evaluating an integral, Mathcad is returning the following:

(note: no variables have been assigned in this worksheet)

Is it possible to force Mathcad to return the exact solution similar to how WolframAlpha does:

Cheers,

Mike

Re: Symbolic solution of an integral

Werner_E — Mon, 09 Apr 2018 04:56:45 GMT

Better than attaching pictures is to attach the worksheet itself here (you may have to zip it because of a serious bug of this forum software).

Mathcads symbolics (= muPad) does in no way live up to programs like mathematica or Maple.

Have you tried using "simplify" or even "simplify,max" ?

Sometimes it helps to use something like "assume,B=real" or "assume,w>0,L>0" etc.

Otherwise I fear muPad is not capable enough to do the job.

Re: Symbolic solution of an integral

LucMeekes — Mon, 09 Apr 2018 08:38:40 GMT

It is generally very hard to control the output of the symbolic processor.

Here's your definite integral (the indefinite result is much wider):

Success!
Luc

Re: Symbolic solution of an integral

Werner_E — Mon, 09 Apr 2018 12:16:23 GMT

Looks like muPad already fails at the first step

Here the result of oncle Wolfram

Re: Symbolic solution of an integral

mbeaumont — Mon, 09 Apr 2018 12:34:13 GMT

Thanks Werner. Hopefully this will be improved in the future..

Re: Symbolic solution of an integral

Werner_E — Mon, 09 Apr 2018 14:45:08 GMT

@mbeaumont wrote:

Thanks Werner. Hopefully this will be improved in the future..

Wishful thinking! I won't hold my breath, though.

Re: Symbolic solution of an integral

Fred_Kohlhepp — Mon, 09 Apr 2018 15:19:09 GMT

Since MuPad is now owned by mathworks (the same people as run MatLab) and we've seen that MatLab can reduce this integral while the version of MuPad in Prime cannot. . .

It's a safe extrapolation that this is the way it's going to be until:

PTC begins to really care about Mathcad
PTC buys a better version of MuPad from their competitor
PTC sells Mathcad to someone who cares
Hell freezes.

I'm betting on #4!