Practice: Triple integration (rectangular)

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Triple Integration (rectangular)

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Compute ∭DxdV,\displaystyle\iiint\limits_Dx dV,D∭​xdV, where D is the region under the plane x + 2y + 3z = 6 that lies in the octant x,y,z≥0.x, y, z\ge 0.x,y,z≥0. 

More Triple Integration (rectangular) Questions:

Practice: Triple integration (rectangular)

Evaluate the iterated integral 
∫−12∫01∫13(y+4xz3)dxdydz\displaystyle \int_{-1}^2\int_0^1\int_1^3(y+4xz^3)dxdydz∫−12​∫01​∫13​(y+4xz3)dxdydz