Maple Maple Integration: How to Integrate Functions with Parameters and Limits

AI Thread Summary
The discussion focuses on integrating a function with parameters in Maple, specifically using double integrals. The correct syntax for a double integral in Maple is provided: int(int(f(x,y), y=g(x)..h(x)), x=a..b). Users are advised to avoid unnecessary spaces for clarity. There is a mention of potential errors in syntax, particularly regarding the use of "int*" instead of "int". Additionally, the conversation touches on the complexity of the integral, suggesting it may involve elliptic integrals, and raises questions about the nature of certain variables, such as gamma[0] and the meaning of x with a superscript dot.
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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