Primitive ? Flashcards
1
Q
x^n
A
x ^ (n+ 1) / n+1
2
Q
x ^ α
A
x ^ (α + 1) / α + 1
3
Q
1/x
A
ln [ x ]
4
Q
a ^ x
A
a ^ x / lna
5
Q
sin x
A
cos x
6
Q
cos x
A
- sin x
7
Q
tg x
A
- ln (cos x)
8
Q
ctg x
A
ln ( sin x )
9
Q
dx / x^2 - a^2
A
1/2a x ln [ x-a/x+a ]
10
Q
dx / x^2+ a ^2
A
1/a x arctg (x/a)
11
Q
dx/ √(a^2 - x^2)
A
arcsin (x/a)
12
Q
dx / √(x^2 + a^2)
A
ln [ x + √(x^2 + a^2 ) ]
13
Q
dx/ √(x^2 - a^2)
A
ln [ x + √(x^2 - a^2) ]
14
Q
1/ cos^2 x
A
tg x
15
Q
1/ sin^2 x
A
ctg x