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Triple Integrals : Changing the Order of Integration and Finding the Volume of a Wedge

1. Using the integral ∫-1-->1 ∫x^2-->1 ∫0-->1-y dz dy dx
a) Sketch the region of integration.
Write the integral as an equivalent iterated integral in the order:
b) dy dz dx
c) dx dz dy
d) dz dx dy

2. Find the volume of a wedge cut from the cylinder x^2 +y^2 =1 by planes z=-y and z=0.
Please show me the process too.

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Triple Integrals, Changing the Order of Integration and Finding the Volume of a Wedge are investigated. The solution is detailed and well presented.

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