Integral Rules Flashcards
ex
ex
1/x dx
ln|x|+c
ax dx
(1/lna)(au)
sin x dx
-cos x + C
cos x dx
sin x + C
sec2 x dx
tan x + C
csc2 x dx
-cot x + C
sec x tan x dx =
sec x + C
csc x cot x dx
-csc x + C
tan x dx
-ln |cos x| + C
cot x dx
ln |sin x| + C
sec x dx
ln |sec x + tan x| + C
csc x dx
-ln |csc x + cot x| + C
dx
square rot of a^2-x^2
arcsin x/a +c
dx/a^2+x^2
1/a arctan x/a +c
dx
x square root of x^2-a^2
1/a arcsec x/a +c
Law of exponential growth and decay
y = Cekt
FTC
integral from a to b of f(x) dx = F(b) - F(a)
Average value of an integral or a funciton on an interval
1/b-a integral
num>denom
infinity
num<denom>
</denom>
o
reiman sum
b-a
n
trapezoid sum
b-a
2n
inside points counted twice
area
top-bottom integral
volume
pi integral R^2
or pi integral R^2-r^2
or integral area of base
or integral (side)^2
area of a trapezoid
b1+b2 *h
2
