Mathc initiation/a00at

Sommaire

Calculons la primitive :

                               /    1    1
 1)  Calculer la primitive de |   ----- ---  dx 
                              /   ln(x)  x
                             

    /     1    1
   |    ----- --- dx  = 
   /    ln(x)  x
                                                      
                         __________________
                        |      u =  ln(x)  |            
                        |     du = 1/x dx  |                    
                        |__________________| 
                             

                          /  1
                      =  |  ---  du
                         /   u

                      =    ln(u) + c
    
                      =    ln(ln(x)) + c