几类根式函数的不定积分

Indefinite Integrals for a Class of Radical Functions

针对根式函数具体的不同表现形式,相应地提出其不定积分的求解方法,旨在培养学生求解根式函数不定积分时对换元积分法的理解、掌握和灵活运用,从而更深层次地体会换元积分法的本质,丰富和抬高对微积分学理解层次的深度和厚度.

Several methods were proposed to solve the indefinite integrals of radical functions according to their specific expressions.The purpose of these methods are aiming at cultivating the understanding ability,mastering ability and flexible applicable ability of students in solving indefinite integrals of radical functions by substitution method,and helping the students to deeply understand the essence and efficiency of integration method by substitution,then finally enriching and enhancing the depth and thickness of student's understanding-level in calculus learning.