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The concept of definite integral

The geometric meaning of definite integral   

Definite integral comparison size

  

Definite integral properties  

Definite integral calculation  

① Two formulas in definite integral  

 

Example  

 

Four operation skills of definite integral ---- Even times odd zero

 ① Even times odd zero : ( Conditions ---> Interval symmetry )

 

Definite integral even times odd zero example  

  

Definite integral ignition formula ( Wally's formula ) 

 

Find the area of a circle by definite integral  

  

The substitution method of definite integral  

  Commutation type : (1) Irrational radical substitution

                  (2) Triangular substitution

  notes : Definite integral commutator commutator

 

  

Definite integral of piecewise function  

 

The equality proof of definite integral ( Big question , The frequency of questions is not high ) 

 

 

  Definite integral equation proof example 1

 

  

Definite integral equation proof example 2 

 

 

Definite integral equation proof example 3 

 

Geometric application of definite integral  

Find the area of a plane figure

 

Solution idea  

 

 

Determine the volume of a body of revolution by definite integral  

 

 

Example