Mathc initiation/a00a9

Sommaire

Calculons la primitive :

             
Calculer la primitive de 

       
   /               /            
  | cot(x)  dx =  |  cos(x)/sin(x) dx     
  /               /                                         
                        
                                       _______________________
                   /  cos(x) dx        |     u =   sin(x)    |
               =  |   -----            |     du =  cos(x) dx |                       
                  /   sin(x)           |_____________________|
                                                                 
                                   
   /               /  1       
  | cot(x)  dx =  |  ----- du     
  /               /   u                                    
                                                        
                                   
               =   ln(   |u|    ) + c    
                                                           
               =   ln( |sin(x)| ) + c