VECTOR%20CALCULUS

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VECTOR CALCULUS
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VECTOR CALCULUS

• The main results of this chapter are all
  higher-dimensional versions of the Fundamental
  Theorem of Calculus (FTC).
• To help you remember them, we collect them here
  (without hypotheses) so that you can see more
  easily their essential similarity.

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VECTOR CALCULUS
17.10 Summary
In this section, we will Summarize the key
theorems learned in this chapter.
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SUMMARY

• In each case, notice that
• On the left side, we have an integral of a
  derivative over a region.
• The right side involves the values of the
  original function only on the boundary of the
  region.

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FTC

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FT FOR LINE INTEGRALS

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GREENS THEOREM

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STOKES THEOREM

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DIVERGENCE THEOREM