摘要
利用定积分对积分区间的可加性、单调性证明不等式.在定积分性质的教学中,本文列举的所有不等式均可以作为习题,供学生练习之用,也可以借此培养学生的逆向思维能力.
Some inequalities are proved by using the additive property and the monotonicity of the definite integral.All inequalities listed in this paper can be used as exercises when discussing properties of definite integrals.They can also be used to cultivate students' ability of reverse thinking.
出处
《高等数学研究》
2016年第6期14-16,共3页
Studies in College Mathematics
基金
广东省高等数学精品资源共享课立项项目(2013)
关键词
定积分的可加性
定积分的单调性
不等式
additive property of definite integral
monotonicity of definite integral
inequality