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Best answer by Cornel

Wolfram result:
Cornel_0-1699949772614.png

Cornel_3-1699949861978.png

 



Mathcad Prime 9 result:

Cornel_2-1699949837596.png

 

Cornel_4-1699949869674.png


So, it's a Mathcad Prime error

And the problem is when taking the limit because the integrals are correctly calculated:

Cornel_5-1699950080527.png

Cornel_6-1699950089763.png

 

 

2 replies

C
Cornel19-TanzaniteAnswer
19-Tanzanite
November 14, 2023

Wolfram result:
Cornel_0-1699949772614.png

Cornel_3-1699949861978.png

 



Mathcad Prime 9 result:

Cornel_2-1699949837596.png

 

Cornel_4-1699949869674.png


So, it's a Mathcad Prime error

And the problem is when taking the limit because the integrals are correctly calculated:

Cornel_5-1699950080527.png

Cornel_6-1699950089763.png

 

 

    W
    Werner_E25-Diamond I
    25-Diamond I
    November 14, 2023
    @ValeryOchkov wrote:

    Is it my or Mathcad Prime 6 error?

     

     

    Hmmm, that depends.

    As you are using Prime 6 we could say that its you and not Prime 6,  because Prime 6 actually IS capable to return the correct result and so far is the last version of Prime able to do so.  Just switch back to the old symbolic engine 😄

    Werner_E_1-1699973788111.png

     

    As Cornel already wrote its the limit of the Fresnel cosine integral function which is calculated wrong (same problem with FresnelS, too)

    Werner_E_1-1699975078108.png

     

     

     

     

     

      V
      24-Ruby IV
      ValeryOchkov24-Ruby IVAuthor
      24-Ruby IV
      November 14, 2023

      https://en.smath.com/forum/yaf_postsm82980_Euler-spiral.aspx#post82980 

      W
      Werner_E25-Diamond I
      25-Diamond I
      November 14, 2023

      Werner_E_0-1699982293803.png

      🙂

       

      And don't use an end value larger than 12 or the like as the numeric accuracy of the integral is rather bad.

      Werner_E_0-1699984208954.png

      You sure will have to increase the Integrals accuracy value from its default 100 to a much higher value. Here is what you get if you set it to 1000:

      Werner_E_2-1699984504912.png

       

       

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