一道含有积分上限函数的不等式证明方法探讨

Discussion on the Proof Methods for an Inequality with Integral Upper Limit Function

一道含有积分上限函数的不等式有四种证明方法,即利用函数的单调性证明;利用函数的极值和最值证明;利用定积分中值定理证明;利用定积分的性质证明,进而培养学员的发散思维.

This paper discusses the proof for an inequality,proposes four methods to prove it,such as the monotonicity of function,the extreme value of function,the integral mean-value theorem and the properties of definite integral,in order to cultivate the divergent thinking of the students.