Antiderivative Rules Flashcards
(41 cards)
1
Q
e^x
A
e^x + C
2
Q
a^x
A
[a^x/In(a)] + C
3
Q
1/x
A
ln|x|+C
4
Q
cos(x)
A
sin(x) + C
5
Q
Sec^2(x)
A
Tan(x) + C
6
Q
Sin (x)
A
-cos(x) + C
7
Q
csc^2(x)
A
-cot(x) + C
8
Q
Sec(x)tan(x)
A
Sec(x) + C
9
Q
1/1+x^2
A
arctan(x) + C
10
Q
1/√1-x^2
A
arcsin(x) + C
11
Q
Csc(x)Cot(x)
A
-csc(x) + C
12
Q
Sec(x)
A
In|sec(x) + tan(x)| + C
13
Q
Csc(x)
A
-ln|csc(x) + cot(x)| + C
14
Q
X^n
A
X^n+1/n+1
When n doesnt = -1
15
Q
√x
A
X^1/2, do power rule
16
Q
Tan(0)
A
0
17
Q
Cos(0)
A
1
18
Q
Sin(0)
A
0
19
Q
∛x
A
X^1/3
20
Q
Cos(π/2)
A
0
21
Q
Sin(π/2)
A
1
22
Q
In(1)
A
0
23
Q
e^0
A
1
24
Q
In(0)
A
Undefined
25
Csc(π/2)
1
26
Cot(π/2)
0
27
Sec(0)
1
28
X^-2
1/x^2
29
1/√u
2 √u
30
In(x)
[x(In(x))-x]+C
31
Tan(x)
In|sec(x)|
32
Cot(x)
In|sin(x)| + C
33
K
Kx+C
34
1/ax+b
1/aIn|ax+b| + C
35
1/(ax+b)^x
[-1/(n-1)a(ax+b)^n-1]+C
36
1/u^4
-1/3u^3
37
e^2x
e^2x/2
38
Cos(pi)
-1
39
Sin(pi)
0
40
Tan(pi)
0
41
Sec(pi)
-1
