Tenta Flashcards
(20 cards)
1
Q
int x^p dx =
A
x^p+1 / p+1
2
Q
int f prim (x) / f(x) dx =
A
ln( abs(f(x) )
3
Q
int cos(x) =
A
sin(x)
4
Q
int 1+tan^2(x) =
A
tan(x)
5
Q
int 1/cos^2(x) =
A
tan(x)
6
Q
int sin(x) =
A
-cos(x)
7
Q
int 1/sqrt(1-x^2) =
A
arcsin(x)
8
Q
int 1/(1+x^2) =
A
arctan(x)
9
Q
int 1/sqrt(x) =
A
2*sqrt(x)
10
Q
int e^x =
A
e^x
11
Q
int a^x =
A
a^x / ln(a)
12
Q
int 1/x =
A
ln ( abs (x) )
13
Q
int f(ax +b) =
A
1/a * int ax + b
14
Q
int f(x)*g(x) dx =
A
int f(x) * g(x) - int(int f(x)) * g prim (x)
15
Q
int 1/(x^2+c^2) =
A
1/c * arctan(x/c)
16
Q
int (b,a) f(x) =
A
int f(b) - int f(a)
17
Q
Rotationskropp x-axeln volym
A
pi * int (b,a) [f(x)]^2
18
Q
int ln(x)
A
x*ln(x)-x
19
Q
int 1/x^2 =
A
-1/x
20
Q
Rotationskropp y-axeln volym
A
2pi * int (b,a) x*[f(x)]
