创新思维培养背景下第一类换元积分法研究

Research on the First Kind of Conversion Integral Method under the Background of Cultivating Innovative Thinking

在高等数学的学习中,换元积分法是函数积分求法的基础,,为培养学生的创新思维,强化答题技巧,提高学生在计算求积分题型时的效率,提出创新思维培养背景下第一类换元积分法研究。通过设置复合函数中间变量,结合第一类换元积分法的形式和凑微分的应用,实现本文研究。经实验证明,本文方法可以有效提高学生答题效率,促进教育事业发展。

In the study of higher mathematics,variable integral method is the basis of function integral method.In order to cultivate students’innovative thinking,strengthen answering skills and improve students’efficiency in calculating integral questions,the first kind of variable integral method under the background of cultivating innovative thinking is put forward.By setting the intermediate variables of composite functions,combining the form of the first kind of integral method and the application of compact differentiation,this paper achieves the research.Experiments show that this method can effectively improve students’answer efficiency and promote the development of education.