见下图,令h(y) = G(y)F(y),然后根据罗尔定理, 存在xi 使得h'(xi)= 0,原式得证
设f(x) g(x)在[a,b]连续, 证至少存在一点ξ∈(a,b), 使f(ξ)∫[b,ξ] g(x)dx=g(ξ)∫[ξ,a] f(x)dx
设f(x) g(x)在[a,b]连续, 证至少存在一点ξ∈(a,b), 使f(ξ)∫[b,ξ] g(x)dx=g(ξ)∫[ξ,a] f(x)dx
数学人气:630 ℃时间:2020-02-03 04:27:15
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