What are the three respresentational systems used for integration in three-space, calculus homework help

Part I:  What are the three respresentational systems used for integration in three-space?  How are they related?  How does one move between the systems?

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Part II:

Pick at least two problems.  One of which must be integrated in all three systems.  The other must remain in one system but have the bounds reordered so that variables have different positions. Minimum three iterations.

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