integrale Flashcards
1
Q
S x^n dx
A
x^n+1/ n+1 + C
2
Q
S e^x dx
A
e^x + C
3
Q
S a^x dx
A
a^x / ln a + C
4
Q
S 1/x dx
A
ln |x| + C
5
Q
S 1/x+a dx
A
ln|x+a| + C
6
Q
S 1/x-a dx
A
ln|x-a| + C
7
Q
S 1 / (x^2 + a^2) dx
A
1/a arctg x/a +C
8
Q
S 1 / (x^2 - a^2) dx
A
1/2a ln | x-a/x+a | + C
9
Q
S sin xdx
A
-cos x + C
10
Q
S cos x dx
A
sin x + C
11
Q
S 1 / cos^2 x dx
A
tg x +C
12
Q
S 1 / sin^2 x dx
A
-ctg x + C
13
Q
S tg x dx
A
-ln |cos x| + C
14
Q
S ctg x dx
A
ln |sin x| +C
15
Q
S 1 / \/x^2 + a^2 dx
A
ln (x + \/x^2 + a^2) + C
16
Q
S 1 / \/x^2-a^2 dx
A
ln |x + \/x^2-a^2| + C
17
Q
S 1 / \/a^2-x^2 dx
A
arcsin x/a + C
18
Q
S x / \/x^2+a^2 dx
A
\/x^2+a^2 + C
19
Q
S x / \/x^2-a^2 dx
A
\/x^2-a^2 + C
20
Q
S x / \/a^2-x^2 dx
A
- \/a^2-x^2 + C
21
Q
S cos ax dx
A
sin ax / a + C
22
Q
S sin ax dx
A
- cos ax / a + C
23
Q
S e^ax dx
A
e^ax / a + C
24
Q
S f’x / fx dx
A
ln |fx| + C
