Relation of definite integral and indefinite integral was discussed and an important result was gotten. If f(x) is bounded and has primary function, the formal definite integral x s f(t)dt is the indefinite integral o...Relation of definite integral and indefinite integral was discussed and an important result was gotten. If f(x) is bounded and has primary function, the formal definite integral x s f(t)dt is the indefinite integral of f(x), where x is a self-variable, s is a parameter,~f(x) is a function defined in(-∞, +∞), which comes from f(x) by restriction and extension. In other words, the indefinite integral is a special form of definite integral, its lower integral limit and upper integral limit are all indefinite.展开更多
The first kind of transformation integral method is one of the very basic methods to solve indefinite integral In teaching, we should do a good job in teaching design so that students can better master it, so as to ma...The first kind of transformation integral method is one of the very basic methods to solve indefinite integral In teaching, we should do a good job in teaching design so that students can better master it, so as to master the essence and grasp the law. The teaching design of the first kind of element exchange integral method is mainly the inverse operation of derivation. The concept of original function and indefinite integral is introduced, which is easy for students to accept. Using the basic integral formula and linear properties, students can calculate the indefinite integral of some simple functions, but they do not know how to solve the more difficult functions The commutation integral method includes the first kind of commutation integral and the second kind of commutation integral. In essence, it uses the derivative idea of composite function The teaching design focuses on reviewing the knowledge points and introducing the idea of variable integral in detail.展开更多
基金Supported by the Colleges and Universities Provincial Scientific Research Project of Anhui Province(KJ2013B090)
文摘Relation of definite integral and indefinite integral was discussed and an important result was gotten. If f(x) is bounded and has primary function, the formal definite integral x s f(t)dt is the indefinite integral of f(x), where x is a self-variable, s is a parameter,~f(x) is a function defined in(-∞, +∞), which comes from f(x) by restriction and extension. In other words, the indefinite integral is a special form of definite integral, its lower integral limit and upper integral limit are all indefinite.
文摘The first kind of transformation integral method is one of the very basic methods to solve indefinite integral In teaching, we should do a good job in teaching design so that students can better master it, so as to master the essence and grasp the law. The teaching design of the first kind of element exchange integral method is mainly the inverse operation of derivation. The concept of original function and indefinite integral is introduced, which is easy for students to accept. Using the basic integral formula and linear properties, students can calculate the indefinite integral of some simple functions, but they do not know how to solve the more difficult functions The commutation integral method includes the first kind of commutation integral and the second kind of commutation integral. In essence, it uses the derivative idea of composite function The teaching design focuses on reviewing the knowledge points and introducing the idea of variable integral in detail.
