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本文立足于定积分的定义和几何意义,结合被积函数的图像,通过求极限、比较面积大小等方法证明了一些用初等代数、初等几何方法不易解决的不等式问题,从中可见高等数学与初等数学的密切联系.
Based on the definition of definite integral and geometrical significance of fixed integral, combining with the image of integrand function, we prove some inequalities which are not easily solved by elementary algebra and elementary geometric method by means of seeking limit and comparing area size. It shows that higher mathematics and elementary mathematics Close contact.