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Question: Integration change of variables. How to tell Maple what the new integration variable should be?

Question:Integration change of variables. How to tell Maple what the new integration variable should be?

nm 9899 Maple 2024
int student
August 31 2024
1

What is the correct syntax in Maple to do integration of variables on 

So that the new integration variable is y using the mapping    u=y*x^(1/3) so that the result is 

The problems seems is that there is no option to tell Maple what the new integration variable is. So it does not know it should be y or x?

I looked at help and all my tries failed. Below is worksheet and also examples from another software as reference. The other software has argument to tell change of variable what is the new integration variable should be. But in Maple, there is no such option.,  Does this mean in Maple change of integration variables only works when the right hand side of the transformation has only one symbol and not two or more? i.e. this works   u=y, but not u=y*x

> 

restart;
> 

interface(version);

`Standard Worksheet Interface, Maple 2024.1, Windows 10, June 25 2024 Build ID 1835466`

> 

T:=Student:-MultivariateCalculus;
e:=Int(1/(3*u^4 + u + 3),u);
T:-ChangeOfVariables(e,[u=y*x^(1/3)]);
T:-ChangeOfVariables(e,[y=u*x^(-1/3)]);

Student:-MultivariateCalculus

Int(1/(3*u^4+u+3), u)

Error, (in Student:-MultivariateCalculus:-ChangeOfVariables) unable to complete the change-of-variables operation

Error, (in Student:-MultivariateCalculus:-ChangeOfVariables) unable to complete the change-of-variables operation

> 

Student[Calculus1][IntTutor](); #did not help either
 

 

Download change_of_variables_integration_august_31_2024.mw

I searched help and see nothing specific to change of variable for integration, so I assumed the above is the command to use. Am I using the wrong command for integration change of variables in Maple?

For reference, I need to duplicate this in Maple:
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