|   | 5 | There are three methods which are using for calculation definite integrals in Fortran. | 
                  
                          |   | 6 | First is rectangle method, where the function is integrated using segment integration  | 
                  
                          |   | 7 | and like a resultant we obtain rectangle formula. Second is trapeze method and the same like | 
                  
                          |   | 8 | in the first method after integration we obtain the trapeze formula. And the third method is | 
                  
                          |   | 9 | Simpson method where the function which is integrated, is parabolic and after integration     | 
                  
                          |   | 10 | we obtain Simpson's formula. In all methods are used segment integration, which means that | 
                  
                          |   | 11 | interval of integration a and b is divided into N segments. The splitting points xn are   | 
                  
                          |   | 12 | called nodes.    | 
                  
                          |   | 13 | In this program we calculate the same integral but using different methods the get the  | 
                  
                          |   | 14 | difference between each method . | 
                  
                          |   | 15 |  | 
                  
            
                      
                        | 6 |   | #!fortran | 
                      
                        | 7 |   | !There are three methods which are using for calculation definite integrals in Fortran. | 
                      
                        | 8 |   | !First is rectangle method, where the function is integrated using segment integration  | 
                      
                        | 9 |   | !and like a resultant we obtain rectangle formula. Second is trapeze method and the same like | 
                      
                        | 10 |   | !in the first method after integration we obtain the trapeze formula. And the third method is | 
                      
                        | 11 |   | !Simpson method where the function which is integrated, is parabolic and after integration     | 
                      
                        | 12 |   | !we obtain Simpson's formula. In all methods are used segment integration, which means that | 
                      
                        | 13 |   | !interval of integration a and b is divided into N segments. The splitting points xn are   | 
                      
                        | 14 |   | !called nodes.    | 
                      
                        | 15 |   | !In this program we calculate the same integral but using different methods the get the  | 
                      
                        | 16 |   | !difference between each method    | 
                      
                      
                        |   | 17 | #!fortran  |