I Change of order in double integrals

[Jazzyrohan]

In the question given below, can we change the order of integral so that y can be the independent variable and x be the dependent one?The cylinder x^2 + z^2 = 1 is cut by the planes y=0,z=0 and x=y.Find the volume of the region in the first octant.This may look like a homework question but it's not.I just want to know whether what I have asked is possible and if yes,then how so?

 

[PeroK]

In the question given below, can we change the order of integral so that y can be the independent variable and x be the dependent one?The cylinder x^2 + z^2 = 1 is cut by the planes y=0,z=0 and x=y.Find the volume of the region in the first octant.This may look like a homework question but it's not.I just want to know whether what I have asked is possible and if yes,then how so?

Why is $x$ special? In which way are $x, y$ and $z$ fundamentally different when it comes to the volume of a solid?