Maple Integration: How to Integrate Functions with Parameters and Limits

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Discussion Overview

The discussion revolves around integrating functions with parameters and limits in Maple, focusing on the syntax and potential errors in inputting complex integrals. Participants explore the integration of functions that involve parameters and nested limits.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks assistance on how to integrate a function with parameters where the limits also include a parameter.
  • Another participant provides a Maple syntax example for double integrals, suggesting the use of the command format for clarity.
  • A third participant shares a complex integral expression but reports issues with obtaining the correct output.
  • A later reply identifies a potential error in the syntax used by the third participant, specifically pointing out the misuse of the asterisk in the command.
  • Further questions are raised regarding the nature of the variable gamma[0] and the interpretation of the expression involving a superscript dot.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are differing views on the correct syntax and interpretation of the integral expressions. The discussion remains unresolved regarding the specific issues faced in the integration process.

Contextual Notes

Limitations include unclear definitions of certain variables and parameters, as well as potential misunderstandings of the syntax required for complex integrals in Maple.

shasa
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how i can integrata function with parameters that's limits have parameter 2 in maple?


please help me
 
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If you mean something like $\int_{a}^{b}\int_{g(x)}^{h(x)}f(x,y)\, dydx$ then the Maple syntax is

Code:
int( int( f(x,y),y=g(x)..h(x) ), x=a..b);

The spaces are not necessary, just to make it readable.
Otherwise, use the command ?MultiInt or ?int or ?Student
 
int*(gamma[0](3*cos(2*`μπ`*(1/2))+3/2-(1/2)*x^2)^4/(`#msup(mi("x"),mo("."))`(4*x^2*gamma[0]^2-`ℏ`^2*Omega^2)*sqrt(((1/4)*rho[0]^2-x^2)*(x^2-(1/4)*rho[g]^2))), x = rho[g] .. sqrt(rho[0]^2+rho[g]^2)/(2*sqrt(2)))

in use that but still i have no correct output
 
Your first error is the 4th character. You want
int(
not
int*(

Next: what is gamma[0] ... a function as in the numerator, or a constant as in the denominator?

With the quartic under the radical, it looks like an elliptic integral.

What is x with superscript dot?
 

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