Integral of the function exp(Shi(x))

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    Function Integral
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Discussion Overview

The discussion revolves around the integration of the function exp(Shi(x)), specifically addressing the challenges faced in computing this integral using Maple. Participants clarify the meaning of Shi(x) and explore the implications for integration.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • Hanaloum seeks assistance with integrating exp(Shi(x)) using Maple.
  • One participant questions the definition of Shi(x), suggesting it may be confused with sinh(x), and states that there is no integral of exp(sinh(x)) in terms of standard functions.
  • Another participant clarifies that Shi(x) refers to the hyperbolic sine integral function.
  • A later reply asserts that there is no integral of exp(Shi(x)) in terms of standard functions.

Areas of Agreement / Disagreement

Participants generally agree that there is no integral of exp(Shi(x)) expressible in terms of standard functions, but the initial confusion regarding the definition of Shi(x) indicates some uncertainty.

Contextual Notes

The discussion does not resolve the specific computational challenges faced by Hanaloum with Maple, nor does it address potential alternative methods for evaluating the integral.

Seong-Yil Kim
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Hi. I'm trying to integrate the function exp(Shi(x)).
I'm trying to get Maple to do the integral, but I can't get it to work.

Can anybody help me? Thank you for your time.


Best regards
Hanaloum.
 
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Welcome to PF!

Hi Hanaloum! Welcome to PF! :smile:
Seong-Yil Kim said:
Hi. I'm trying to integrate the function exp(Shi(x)).
I'm trying to get Maple to do the integral, but I can't get it to work.

What is Shi(x)? :confused:

Do you mean sinh(x)? If so, there's no integral of esinh(x) in terms of standard functions. :redface:
 
ah … in that case, there's no integral of eShi(x) in terms of standard functions.
 

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