Integrales definidas e Indefinidas en Matlab

>> %Integrales en Matlab
>> %Integral indefinida
>> syms
 
 
>> syms x
>> f= 2*x^4;
>> F = int(f)
 
F =
 
(2*x^5)/5
 
>> %integral definida
>> F = int(f,3,2)
 
F =
 
-422/5
 
>> %integrales impropias (al infinito)
>> D = (exp(-x)*sin(x))/x
 
D =
 
(exp(-x)*sin(x))/x
 
>> pretty (D)
 
  exp(-x) sin(x) 
  -------------- 
        x
>> DD =int(D,0,inf)
 
DD =
 
pi/4
 
>> DD =int(D)
 
DD =
 
(ei(x*(- 1 - i))*i)/2 - (ei(x*(- 1 + i))*i)/2
 
>> pretty(DD)
 
  ei(x (- 1 - i)) i   ei(x (- 1 + i)) i 
  ----------------- - ----------------- 
          2                   2
>>