Tabla_de_Integrales

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Iván Renison 
Integrales 
Reglas de integrales: 
ഽ (f+g)(x) dx ​= ഽ f(x) dx + ​ഽ g(x) dx 
ഽ (f−g)(x) dx ​= ഽ f(x) dx ​− ഽ g(x) dx 
k constante, ​ഽ k ∗ f(x) dx ​= k ∗ ഽ f(x) dx 
F’(x) = f(x) , ​ഽ f(g(x)) g’(x) dx = ​F(g(x)) + c​ | u = g(x) , du = g’(x) ∗ dx 
f’ y g’ continuas, ​ഽ f(x) ∗ g’(x) dx ​= f(x) ∗ g(x) − ഽ f’(x) ∗ g(x) dx 
 
Tabla de integrales: 
f(x) = ​0 ഽ f(x) dx = c 
f(x) = ​x​r ഽ f(x) dx = x​r+1​ / (r+1) + c 
f(x) = ​1/x​ , x ≠ 0 ഽ f(x) dx = ln(|x|) + c 
f(x) = ​cos(x) ഽ f(x) dx = sen(x) + c 
f(x) = ​sen(x) ഽ f(x) dx = −cos(x) + c 
f(x) = ​e​x ഽ f(x) dx = e​x​ + c 
f(x) = ​a​x​ , a > 0 ഽ f(x) dx = a​x​ / ln(a) + c 
f(x) = ​1 / √(1−x​2​)​ , −1 ≤ x ≤ 1 ഽ f(x) dx = arcsen(x) + c 
ഽ f(x) dx = −arccos(x) + c 
f(x) = 1 / (1 + x​2​) ഽ f(x) dx = arctan(x) + c