std integrals Flashcards
sexually transmitted integrals (13 cards)
1
Q
integrate x^n
A
(x^(n+1)) / (n+1) + c
2
Q
integrate exp(x)
A
exp(x) + c
3
Q
integrate cos(x)
A
sin(x) + c
4
Q
integrate sin(x)
A
- cos(x) + c
5
Q
integrate sec^2(x)
A
tan(x) + c
6
Q
integrate sec(x)tan(x)
A
sec(x) + c
7
Q
integrate 1/x
A
ln|x| + c
8
Q
integrate 1/sqrt(1 - x^2)
A
arcsin(x) + c
or
- arccos(x) + c
(from pythagoras)
9
Q
integrate 1/(x^2 + 1)
A
arctan(x) + c
(also from pythagoras)
10
Q
integrate sinh(x)
A
cosh(x) + c
11
Q
integrate cosh(x)
A
sinh(x) + c
12
Q
integrate 1/sqrt(x^2 + 1)
A
arcsinh(x) + c
13
Q
integrate 1/sqrt(x^2 - 1)
A
arccosh(x) + c
