The Mean Value Theorem for double integrals says that if f is a continuous function on a plane region D that is of type I or II, then there exists a point in D such that
Use the Extreme Value Theorem and Properly of integrals to prove this theorem.
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Extended Mean Value Theorem
Prove the Extended Mean Value Theorem: If f and are continuous on the closed interval [a, b], and if exists in the open interval (a, b), then there exists a number c in (a, b) such that
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