formule inegrale Flashcards

1
Q

∫x dx

A

x²/2 + C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

∫e^x dx

A

e^x + C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

∫a^x dx

A

a^x/ln(a) + C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

∫1/x^2-a^2 dx

A

1/2a ln|x-a/x+a|

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

∫1/sqrt(x^2 + a^2) dx

A

ln(x+ sqrt(x^2 + a^2))

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

∫1/sqrt(1-x²) dx

A

arcsin(x) + C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

∫sinxdx

A

-cosx + c

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

∫cosxdx

A

sinx + c

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

∫x/sqrt(a^2 - x^2) dx

A

-sqrt(a^2 - x^2) + C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

∫dx

A

x+c

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

∫xⁿ dx

A

x^(n+1)/(n+1) + C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

∫sqrt(x) dx

A

2/3 xsqrt(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

∫1/x dx

A

ln |x| + C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

∫1/(x^2+1) dx

A

arcctg x + C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

∫1/(x^2+a^2)dx

A

(1/a)arctan(x/a)+C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
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
Q

∫cos2x

A

1/n sinnx+c

26
Q

∫sin2x

A

-1/n cosnx+c

27
Q

∫e^nx

A

e^nx/n + c

28
Q

∫a^nx

A

a^nx/n lna +c

29
Q

∫1/2sqrt(x)

A

sqrt(x)+c

30
Q

∫1/3sqrt^3(x)

A

sqrt^3(x) +c

31
Q

∫1/n sqrt^n(x^n-1)

A

sqrt^n(x) +c