Integral Rules Flashcards
1
Q
ex
A
ex
2
Q
1/x dx
A
ln|x|+c
3
Q
ax dx
A
(1/lna)(au)
4
Q
sin x dx
A
-cos x + C
5
Q
cos x dx
A
sin x + C
6
Q
sec2 x dx
A
tan x + C
7
Q
csc2 x dx
A
-cot x + C
8
Q
sec x tan x dx =
A
sec x + C
9
Q
csc x cot x dx
A
-csc x + C
10
Q
tan x dx
A
-ln |cos x| + C
11
Q
cot x dx
A
ln |sin x| + C
12
Q
sec x dx
A
ln |sec x + tan x| + C
13
Q
csc x dx
A
-ln |csc x + cot x| + C
14
Q
dx
square rot of a^2-x^2
A
arcsin x/a +c
15
Q
dx/a^2+x^2
A
1/a arctan x/a +c
16
Q
dx
x square root of x^2-a^2
A
1/a arcsec x/a +c
17
Q
Law of exponential growth and decay
A
y = Cekt
18
Q
FTC
A
integral from a to b of f(x) dx = F(b) - F(a)
19
Q
Average value of an integral or a funciton on an interval
A
1/b-a integral
20
Q
num>denom
A
infinity
21
Q
num<denom>
</denom>
A
o
22
Q
reiman sum
A
b-a
n
23
Q
trapezoid sum
A
b-a
2n
inside points counted twice
24
Q
area
A
top-bottom integral
25
volume
pi integral R^2
or pi integral R^2-r^2
or integral area of base
or integral (side)^2
26
area of a trapezoid
b1+b2 \*h
2
