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Given this triple integral $\int_0^9$$\int_0^{3-\sqrt x}$$\int_0^{3-z}$ $dydzdx$. Change the order of integration into $dzdydx$.

I know that there's a parabola, a triangle-like shape in plane yz. But I can't seem to imagine the whole figures together and I can't seem to picture the projection in plane xz which I need in the new order of integration. Can someone show me a figure of this triple integral? Thank you!

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aw sorry. It should be $3-z$. Edited it already :D – Cossette Jan 22 at 12:52
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Note you're only interchanging the two inner integrals. So you need only consider switching the order for $\int_0^{3-\sqrt x}\int_0^{3-z}\, dy\,dz $. Drawing a picture of the region of integration should help. – David Mitra Jan 22 at 12:54

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