derivate si integrale Flashcards
1
Q
d (log a x )
A
1 / x lna
2
Q
d (arctg x)
A
1 / x^2+1
3
Q
d (arcctg x)
A
-1/ x^2+1
4
Q
d (arcsin x)
A
1/ rad 1-x^2
5
Q
d (arccos x)
A
-1/rad 1-x^2
6
Q
d (tg x)
A
1/cos ^2 x
7
Q
d (ctg x)
A
-1/sin ^2 x
8
Q
i (1/x^2+a^2)
A
1/a arct x/a
9
Q
i (1/x^2-a^2)
A
1/2a ln (x-a/x+a)
10
Q
i (1/ rad x^2+a^2)
A
ln (x+ rad x^2+a^2)
11
Q
i (1/ rad x^2-a^2)
A
ln (x+ rad x^2-a^2)
12
Q
i (1/ rad a^2-x^2)
A
arcsin x/a
13
Q
i (tg x)
A
-ln (cos x)
14
Q
i (ctg x)
A
ln (sin x)
