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· |