state and prove second mean value theorem
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There are various slightly differenttheorems called the second mean value theorem for integration. A commonly found version is as follows: If G : [a, b] → R is a positive monotonically decreasing function and φ : [a, b] → R is an integrable function, then there exists a number x in (a, b] such that.
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Second mean value Theorem proof .Real Analysis integration. I am asked to prove the second mean value theorem. Let F and G be defined on (AB)with G continuous, f is greater than 0,and F integrable .Then there is a point €( a b) such that baf (x)g (x) dx =g(x0)baf(x) dx.
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