OEF integrales with parameters
    
      --- Introduction ---
    
  
 
This module actually contains 2 exercises on derivation and integrals with parameters.
Derivatives of integrals I
Let 
 be a real continuous function. Calculate the derivative of the real function 
 defined by	 
 	
Derivatives of integrals II
Let 
 be a real continuous function.with continuous derivative. Let 
 be the real function defined by	 
 	 
In the derivative of  
, is there some term like		-  f' (expression in  ) ?  
   
 	
  f(expression in  and ) d   ?  
   	-  
  (expression in   and  )f'(expression in  and ) d  ?  
  	-  f( expression en ) ?   
 	
	(Remark : an expression in 
 and 
 may not depend on  
 or 
, but must be non zero !	)  
	 
So	 	
	 
 
 
 	+ 
 f( 
)	 
	 
 
 
	 
	 
 
 
( 
) 
	 
	
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    - Description: collection of exercices on integrals depending on a parameter. interactive exercises, online calculators and plotters, mathematical recreation and games
 
    - Keywords: interactive mathematics, interactive math, server side interactivity, analysis, parameter integral derivation derivative