Table of Integrals Flashcards
1
Q
x^n dx
A
x^n+1/n+1
2
Q
1/x dx
A
ln |x|
3
Q
e^x dx
A
e^x
4
Q
b^x dx
A
b^x/ln b
5
Q
sin(x) dx
A
-cos(x)
6
Q
cos(x) dx
A
sin(x)
7
Q
sec^2 (x) dx
A
tan(x)
8
Q
csc^2 (x) dx
A
-cot(x)
9
Q
sec(x)tan(x) dx
A
sec(x)
10
Q
csc(x)cot(x) dx
A
-csc(x)
11
Q
sec(x) dx
A
ln |sec(x) + tan(x)|
12
Q
csc(x) dx
A
ln |csc(x) - cot(x)|
13
Q
tan(x) dx
A
ln |sec(x)|
14
Q
cot(x) dx
A
ln |sin(x)|
15
Q
sinh(x) dx
A
cosh(x)
16
Q
cosh(x) dx
A
sinh(x)
17
Q
dx/x^2 + a^2
A
1/a tan^-1 (x/a)
18
Q
dx/{a^2 - x^2}
A
sin^-1(x/a)