Kap 5 integrasjon Flashcards
1
Q
Hva definerer en jevn funksjon
A
f(-x)=f(x)
2
Q
Hva definerer en odde funksjon
A
g(-x)=-g(x)
3
Q
int 1
A
x
4
Q
int x
A
(1/2)*x^2
5
Q
int x^2
A
(1/3)*x^3
6
Q
int 1/x^2
A
-(1/x)
7
Q
int 1/x
A
ln(abs(x))
8
Q
int sqrt(x)
A
(2/3)*x^(3/2)
9
Q
int 1/(sqrt(x))
A
2*sqrt(x)
10
Q
int sin ax
A
-(1/a)*cos ax
11
Q
int cos ax
A
(1/a)*sin ax
12
Q
int sec^2(ax)
A
(1/a)*tan ax
13
Q
int csc^2(ax)
A
(1/a)*sin ax
14
Q
int sec ax tan ax
A
(1/a)sec ax
15
Q
int csc ax cot ax
A
-(1/a)csc ax
16
Q
int 1/ sqrt(a^2 -x^2)
A
arcsin (x/a)
17
Q
int 1/(a^2+x^2)
A
(1/a)arctan (x/a)
18
Q
int e^(ax)
A
1/a)*e^(ax)
19
Q
int b^(ax)
A
1/(alnb))*b^(ax)
20
Q
int cosh ax
A
1/a)sinh ax
21
Q
int sinh ax
A
1/a)cosh ax
22
Q
int tan x
A
ln(abs(sec x))
23
Q
int cot x
A
ln(abs(sin x))
24
Q
int sec x
A
ln(abs(sec x +tan x))
25
Q
int csc x
A
-ln(abs(csc x+cot x))
26
Q
int cos^2(x)
A
1/2(x+sinx*cosx)
27
Q
int sin^2(x)
A
1/2(x-sinx*cosx)
