Evaluate the triple integral , where is bounded by the surface and the planes , and .

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- Apr 22nd 2009, 11:38 PMwik_chick88triple integral
Evaluate the triple integral , where is bounded by the surface and the planes , and .

- Apr 22nd 2009, 11:57 PMredsoxfan325
I'd like someone to verify this, but I'm pretty sure that this is it.

Getting the bounds is the hardest part. Just looking at , the area enclosed by and is the region such that . Note that here .

Thus, we have

Setting up the integral, we have

Here's my proposed solution if you want it.

__Spoiler__: