一类积分公式在简化有关二次曲线定积分计算中的应用

The Application of a Kind of Integral Formula in the Calculation of the Definite Integral of the Quadratic Curve

利用一类常用的积分公式,将与二次曲线有关的定积分问题转化为与圆有关的定积分问题,使得积分的计算大为简化,体现了"图形转换"思想在积分计算中的应用,对高等数学的教学具有一定的参考借鉴意义.

This paper,by using a common type of integral formula,transforms the definite integral problem concerning quadratic curve into the definite integral problem concerning circle,which greatly simplifies the integral calculation,reflects the＂graphics conversion＂thought in the application of integral computation,and has certain reference significance to the teaching of higher mathematics.