Intégrales indéfinies immédiates

dx = x + c

x^ⁿdx =

+ c (n

-1)

dx =

+ c

x^{^-1}dx =

dx = ln x + c

a^{^x}dx =

+ c = a^{^x} log_a e + c (a > 0 et a

1)

e^{^x}dx = e^{^x} + c

sin x dx = -cos x + c

cos x dx = sin x + c

dx = tan x + c

dx = -cotan x + c

dx = arcsin x + c (|x| < 1)

dx = arctan x + c

sinh x dx = cosh x + c

cosh x dx = sinhx + c

dx = tanh x + c

dx = -cotanh x + c (x

0)

dx = ln |x +

| + c = arcsinh x + c

dx = ln |x +

| + c = arccosh x + c (|x| > 1)

dx =

= arctanh x + c (|x| < 1)

dx =

= -arccotanh x + c (|x| > 1)