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R
Ryan1-Visitor
1-Visitor
April 17, 2012
Solved

integration weirdness

  • April 17, 2012
  • 4 replies
  • 6227 views

Dear all,

Please help me resolve these confusing usage issues.

I'm using Mathcad 15.0 (15.0.0.436 [006041742]).

I've additionally attached my working as a Mathcad worksheet. Thanks.

Capture.JPG

Best answer by rag

think you should not use the variable of integration as a boundery.

Mathcad simply can not integrate that int sybolically.

Obviously it creates nonsense when variable and boundery are the same.

4 replies

A
AlanStevens19-Tanzanite
19-Tanzanite
April 17, 2012

Mupad(the Mathcad symbolic engine) is not infallible and has problems with difficult integrals (and some simple ones!). I'm using exactly the same version of M15 as you, but your worksheet gives slightly different results for me, as can be seen below:

Integral.PNG

Alan

R
Ryan1-VisitorAuthor
1-Visitor
April 17, 2012

Hi Alan, thanks for your reply.

Okay, I just reopened the worksheet on the same system, and weirdly, my Mathcad is now giving the exact same values as yours (i.e. it is no longer giving the values I originally got earlier on!).

I.e. our copies of Mathcad (including Vladimir's copy of Prime 2.0) all give the same errors.

Please refer to the updated worksheet below (specifically the last question, where I have re-angled the problem):

Capture.JPG

Thanks!

V
24-Ruby III
VladimirN24-Ruby III
24-Ruby III
April 17, 2012

Ryan Goh wrote:

...

I'm using Mathcad 15.0 (15.0.0.436 [006041742])..

This is a F000 service release of Mathcad 15. And I have the same result as shown by Alan (use Mathcad 15 M010).

R
Ryan1-VisitorAuthor
1-Visitor
April 17, 2012

Hi, I'm sorry, but I'm not familiar with release history-- what does (F000) service release mean? And how do I upgrade to the version 15 M010 that you mention (without having to pay)?

Thanks.

V
24-Ruby III
VladimirN24-Ruby III
24-Ruby III
April 17, 2012

1. Datecodes starting with an "F" designate the first release of a product. Datecodes starting with an "M" denote a maintenance release. Mathcad 15 M010 - the latest service release at this time.

2. To upgrade, you must have paid for a maintenance .

V
24-Ruby III
VladimirN24-Ruby III
24-Ruby III
April 17, 2012

Answer in Mathcad Prime 2.0:

Pic_1.png

R
rag1-VisitorAnswer
1-Visitor
April 17, 2012

think you should not use the variable of integration as a boundery.

Mathcad simply can not integrate that int sybolically.

Obviously it creates nonsense when variable and boundery are the same.

A
AlanStevens19-Tanzanite
19-Tanzanite
April 17, 2012

winfrod rager wrote:

think you should not use the variable of integration as a boundery.

I agree, but that's not the cause of the problem here - the same problems occur even if you use a different symbol for the upper bound.

The integral is just too difficult for Mupad. Maple gives the following, where Si is the sine integral and Ci is the cosine integral:

Integral.PNG

Alan

M
mzeftel1-Visitor
1-Visitor
April 17, 2012

I am logging these issues to be investigated for a future release of Mathcad.

Mona

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