NB : on omet la constante d'intégration c.

1 / dx = (2/a)·
x / dx =
dx = (2/3a)·
x· dx =
1 / dx = ln |x + |
x / dx = =
           = -(1/a)· arcsinh (a/x)  
1 / (x2· )dx = - / (a2x)
dx = (x/2)· + (a2/2)· ln |x + |
x· dx = (1/3)· (x2 + a2)·

Quand |x| > a :

1 / dx = ln |x + |
x / dx =
dx = (x/2)· - (a2/2)· ln |x + |
x· dx = (1/3)· (x2 - a2)·

Quand |x| < a

1 / dx = arcsin (x/a)
x / dx = -
dx = (x/2)· + (a2/2)· arcsin (x/a)
x· dx = -(1/3)· (a2 - x2)·
/ x dx = - a·