积分第二中值定理的中值点ζ的进一步研究

A Further Research on Intermediate Point in the Second Mean Value Theorem for Integrals

主要研究按积分第二中值定理结论x∫af(t)g(t)dt=f(a)∫ζag(t)dt+f(x)∫xζg(t)dt确定的中间点ζ作为x的函数,其一一对应性和严格单增性。

This paper mainly studies the defining the intermediate point ξ as x function in the second meantheorem for integrals based on ∫a^xf（t）g（t）dt=f（a）∫a^ξg（t）dt＋f（x）∫ξ^xg（t）dt,and its correspondence and strict monotonic increase.