known antiderivatives Flashcards
1
Q
for n≠-1, x^n…
A
1/(n+1)x^(n+1)
2
Q
1/x or x^-1
A
ln|x|
3
Q
-sin(x)
A
cos(x)
4
Q
cos(x)
A
sin(x)
5
Q
sec^2(x)
A
tan(x)
6
Q
sec(x)tan(x)
A
sec(x)
7
Q
-csc^2(x)
A
cot(x)
8
Q
-csc(x)cot(x)
A
csc(x)
9
Q
sinh(x)
A
cosh(x)
10
Q
sech^2(x)
A
tanh(x)
11
Q
1/(sqrt[1-x^2)
A
arcsin(x)
12
Q
1/(x^2+1)
A
arctan(x)
13
Q
a^x
A
(1/(ln(a))) a^x
14
Q
e^x
A
e^x
15
Q
e^2x
A
1/2(e^2x)
16
Q
af(x)
A
aF(x)
17
Q
f’/f
A
ln|f|
18
Q
sec(x)
A
ln|sec(x)tan(x)|
19
Q
1/(n+1)x^(n+1)
A
n≠-1, x^n
20
Q
ln|x|
A
1/x or x^-1
21
Q
cos(x)
A
-sin(x)
22
Q
sin(x)
A
cos(x)
23
Q
tan(x)
A
sec^2(x)
24
Q
sec(x)
A
sec(x)tan(x)
25
Q
cot(x)
A
-csc^2(x)
26
Q
csc(x)
A
-csc(x)cot(x)
27
Q
cosh(x)
A
sinh(x)
