Antiderivatives Flashcards
1
Q
1
A
x
2
Q
x^n
A
x^n+1/n+1
3
Q
e^x
A
e^x
4
Q
1/x
A
ln x
5
Q
n^x
A
n^x/ln n
6
Q
Cos x
A
Sin x
7
Q
Sin x
A
-cos x
8
Q
Sec^2 x
A
Tan x
9
Q
csc ^2 x
A
-cot x
10
Q
tan x sec x
A
sec x
11
Q
cot x csc x
A
-csc x
12
Q
1/ sq (1-x^2)
A
Arcsin x
13
Q
-1/ sq (1-x^2)
A
Arccos x
14
Q
1/(1+x^2)
A
Arctan x
15
Q
-1/(1+x^2)
A
Arccot x
16
Q
1/x sq(x^2-1)
A
Arcsec x
17
Q
-1/x sq(x^2-1)
A
Arccsc x
18
Q
Average Value formula
A
1/(b-a) * function
19
Q
Odd function
A
F(-x) = -f(x)
20
Q
Even function
A
f(-x) = f(x)
21
Q
Half angle for sin^2x
A
1/2 (1-cos(2x)
22
Q
Half angle for cos^2x
A
1/2 (1+cos(2x)
23
Q
Cos and sin are odd
A
Save 1 and u-sub
24
Q
Cos and sin are even
A
Half angle
25
Q
Integral of sec x
A
Ln(sec x +tan x) +c
