formule inegrale Flashcards
1
Q
∫x dx
A
x²/2 + C
2
Q
∫e^x dx
A
e^x + C
3
Q
∫a^x dx
A
a^x/ln(a) + C
4
Q
∫1/x^2-a^2 dx
A
1/2a ln|x-a/x+a|
5
Q
∫1/sqrt(x^2 + a^2) dx
A
ln(x+ sqrt(x^2 + a^2))
6
Q
∫1/sqrt(1-x²) dx
A
arcsin(x) + C
7
Q
∫sinxdx
A
-cosx + c
8
Q
∫cosxdx
A
sinx + c
9
Q
∫x/sqrt(a^2 - x^2) dx
A
-sqrt(a^2 - x^2) + C
10
Q
∫dx
A
x+c
11
Q
∫xⁿ dx
A
x^(n+1)/(n+1) + C
12
Q
∫sqrt(x) dx
A
2/3 xsqrt(x)
13
Q
∫1/x dx
A
ln |x| + C
14
Q
∫1/(x^2+1) dx
A
arcctg x + C
15
Q
∫1/(x^2+a^2)dx
A
(1/a)arctan(x/a)+C
16
Q
∫1/sqrt(x^2-a^2) dx
A
ln|x+ sqrt(x^2-a^2)| + C
17
Q
∫1/sqrt(a^2-x^2) dx
A
arcsin(x/a)+C
18
Q
∫tgx dx
A
-ln |cosx| + c
19
Q
∫ctgxdx
A
ln|sinx| + C
20
Q
∫1/cos²(x)dx
A
tgx + C
21
Q
∫1/sin²x dx
A
-ctgx+C
22
Q
∫x/sqrt(x^2-a^2) dx
A
sqrt(x^2 - a^2) + C
23
Q
∫x/sqrt(x^2 + a^2) dx
A
sqrt(x^2 + a^2) + C
24
Q
∫x/sqrt(a^2-x^2)
A
-sqrt(a^2-x^2)+C
25
∫cos2x
1/n sinnx+c
26
∫sin2x
-1/n cosnx+c
27
∫e^nx
e^nx/n + c
28
∫a^nx
a^nx/n lna +c
29
∫1/2sqrt(x)
sqrt(x)+c
30
∫1/3sqrt^3(x)
sqrt^3(x) +c
31
∫1/n sqrt^n(x^n-1)
sqrt^n(x) +c
