Mathc initiation/a00ag

Sommaire

Calculons la primitive :

             
Calculer la primitive de 

       
   /                  /   exp(x) - exp(-x)         
  | sinh(x)  dx =     | ------------------- dx     
  /                  /           2                              
    

                       /           
                = 1/2  |   exp(x) - exp(-x) dx     
                      /                       
                                        
    
                = 1/2    ( exp(x) + exp(-x) ) + c
                
                
                =        ( exp(x) + exp(-x) ) + c
                          ------------------
                                  2         
                        
                               
                =                cosh(x) + c