Question: Brachistochrone - calculating time

I want to find shortest time it takes particle to travel from point A(0,0) to B(1,1). I tried to solve this problem by using following code test.mw. I know that solution to this problem is cycloid and i already found its equations in parametric form.

My problem is that when i try to solve integral as a solution i receive Time := Float(infinity)*I.

Is there any way to get a numeric solution in Maple or is my understanding of problem wrong here?


Any help would be much appreciated.

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