Triple integrals. Changing the limits of intergration.

Question

dessyj1 · Answer

Find at least two different limits of integration for the following triple integral. 

$$\int\limits_{0}^{1}\int\limits_{0}^{x^2}\int\limits_{0}^{x} f(x,y,z) dzdydx$$

anonymous · Answer

draw a sketch of the region that your integrating over, then you can read off limits of integration in any order you would like.

dessyj1 · Answer

How about algebraically? When drawing is too difficult.

dessyj1 · Answer

@Redcan

dessyj1 · Answer

My implied inequalities are

anonymous · Answer

It looks like you can solve you ineq. in terms of the other variables.  In this case, you can check with a sketch.  really complex regions might be a problem, I don't remember ever dealing with them.

anonymous · Answer

idk.

dessyj1 · Answer

Can you check my picture for accuracy after I draw it?
@Redcan

dessyj1 · Answer

also, will I draw it plane-by-plane (xy,zy,xz) or in 3D?

anonymous · Answer

plane by plane should work.

dessyj1 · Answer

attachment