INTEGRALI INDEFINITI
f(x) F(x) + c GENERALIZZAZIONI
0 c
1 x + c
x
x2
2+c
x2
x3
3+c
xn
x(n+1)
n+1+c
∫f ' (x)⋅
{
f(x)
}
ndx=
{
f(x)
}
(n+1)
n+1+c
1
x
ln (|x|)+c
∫f '(x)
f(x)dx=ln (|f(x)|)+c
√
x
2
3⋅
√
x3+c
sin(x)
−cos(x)+c
∫f ' (x)⋅sen [f(x)] dx=−cos [f(x)]+c
cos(x)
sin(x)+c
∫f ' (x)⋅cos([f(x)])=sen [f(x)]+ c
ex
ex+c
∫f(x)'⋅ef(x)dx=ef(x)+c
ax
ax
ln (a)+c
∫f ' (x)⋅af(x)dx=af(x)
ln (a)
1
cos(x)2;1+tan(x)2
tan (x)+c
∫f ' (x)
cos [f(x)]2dx=tan f(x)+c
−1
sin (x)2
cot (x)+c
∫f ' (x)
sen[f(x)]2dx=−cot [f(x)]+ c
1
√
1−x2
arcsin (x)+c
∫f ' (x)
√
1−[f(x)]2dx=arcsin [f(x)]+ c
1
1+x2
arctan (x)+c
∫f ' (x)
1+[f(x)]2dx=arctan[f(x)]+ c
