Integrals Flashcards
1
Q
x^a
A
1/(a+x)*x^(a+1), x > 0, a != 1
2
Q
1/x
A
ln|x|, x != 0
3
Q
a^x
A
a^x/ln(a), a > 0, a != 1
4
Q
sin(x)
A
-cos(x)
5
Q
cos(x)
A
sin(x)
6
Q
1/cos^2(x)
A
tg(x), x != pi/2 + pi*k
7
Q
1/sin^2(x)
A
-ctg(x), x != pi*k
8
Q
1/1+x^2
A
arctg(x) OR -arcctg(x)
9
Q
1/sqrt(1-x^2)
A
arcsin(x) OR arccos(x), |x| < 1
10
Q
1/(x^2-1)
A
1/2 * ln | (x-1)/(x+1) | , x != 1, x != (-1)
11
Q
1/sqrt(x^2 +/- 1)
A
ln |x + sqrt(x^2 +/- 1)|
12
Q
sh(x)
A
ch(x)
13
Q
ch(x)
A
sh(x)
14
Q
1/ch^2(x)
A
th(x)
15
Q
1/sh^2(x)
A
-cth(x)
