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In this problem there is an oblique plane and they are trying to find the volume ABOVE the plane.

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I understand how bottom and top limit of this question was found and it also makes sense to me how upper limit of integration was found when integrating with respect to x after it is integrated by Z but I dont get why when integrated with respect to x's lower limit is 0 because isn't the oblique plane changing the lower bound of x?

I am getting really frustrated and hazy when trying to figure out the upper and lower limits for triple integrals with variables for limits....isn't there an easier way to visualize or even come up with these limits?

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Let look at the area, we are working on:

enter image description here

you see that the plane intersects $z=0$ and so makes the red line and makes the following flat area on $xy-$plane:

enter image description here

enter image description here enter image description here

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    You make such wonderful graphs that help users to visualize the problems! +12013-04-10