关于定积分的两个中值定理

On two mean value theorems for definite integrals

对于定积分的第一中值定理和第二中值定理分别考虑了中值点的变化趋势,在一定的条件下得到了具有某种对称性的结果,发展了前人所做的工作.

We consider asymptotic behavior of the intermediate points in the first mean value theorem as well as in the second mean value theorem of definite integrals separately.Some kind of symmetric results are obtained under certain conditions.Predecessors' works are developed.