Maple Integration: How to Integrate Functions with Parameters and Limits

[shasa]

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


please help me

 

[benorin]

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

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

 

[shasa]

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

 

[g_edgar]

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?

 

[blue_raver22]

To integrate a function with parameters and limits in Maple, you can use the "int" command. For example, to integrate the function f(x) = x^2 with limits from 0 to a parameter p, you can use the command "int(x^2,x=0..p)". This will give you the result of the integration as a function of p. You can also specify multiple parameters and limits in the same command, such as "int(x^2,x=a..b,y=c..d)".

To integrate a function with a parameter in the limits, such as your example of a limit with parameter 2, you can use the same "int" command but with the parameter included in the limits. For instance, to integrate the function x^2 with limits from 0 to 2p, you can use the command "int(x^2,x=0..2p)". This will give you the result as a function of p.

In general, Maple has a powerful built-in integration engine that can handle a wide range of functions, parameters, and limits. You can also use the "assuming" command to specify additional assumptions about the parameters or limits, if needed. For more specific instructions and examples, you can refer to the Maple documentation or seek assistance from the Maple community.