Known Antiderivative, Trig Identities, And Other Known Things Flashcards
(23 cards)
1
Q
int: 1/x
A
ln|x|
2
Q
int: -sin(x)
A
cos(x)
3
Q
int: sec^2(x)
A
tan(x)
4
Q
int: sec(x)tan(x)
A
sec(x)
5
Q
int: -csc^2(x)
A
cot(x)
6
Q
int: -csc(x)cot(x)
A
csc(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: a^x
A
(1/ln(a)) (a^x)
10
Q
int: e^x
A
e^x
11
Q
int: af(x)
A
aF(x)
12
Q
int: fâ(x)/f(x)
A
ln|f(x)|
13
Q
int: sec(x)
A
ln|sec(x) + tan(x)|
14
Q
int: csc(x)
A
-ln|csc(x) - tan(x)|
15
Q
cos^2(x) + sin^2(x)=
A
1
16
Q
1 + tan^2(x)=
A
sec^2(x)
17
Q
sin(2x) =
A
2sin(x)cos(x)
18
Q
cos(2x)=
A
cos^2(x) - sin^2(x)
19
Q
2cos^2(x) - 1=
A
cos(2x)
20
Q
1 - 2sin^2(x)=
A
cos(2x)
21
Q
2cos^2(x)=
A
1 + cos(2x)
22
Q
2sin^2(x)=
A
1-cos(2x)
23
Q
what is e^x in terms of a series
A
summation at n=0 to infinity: x^n/n!
