unit 1 Flashcards
1
Q
integral of x^-1
A
ln|x|+c
2
Q
integral of e^x
A
e^x+c
3
Q
integral of a^x
A
a^x /lna
4
Q
integral of lnx
A
x(lnx-1)
5
Q
integral of log base( a )x
A
x/lna (lnx - 1) + c
6
Q
integral of du/ root(a^2 -u^2)
A
inverse sin(u/a) + c
7
Q
int of du/ a^2 +u^2
A
1/a inverse tan u/a
8
Q
int of du / u^2 - a^2
A
1/a inverse secant u/a
9
Q
equation for work
A
integral from a to b F(x)
10
Q
mass of circular object
A
integral from 0 to r 2pix* f(x)
11
Q
mass of 1D obj
A
int from a to b f(x)
12
Q
surface area
A
int from a to b 2pi f(x) * root(1 + f’(x)^2
13
Q
arc length
A
int from a to b root(1 +g’(x)^2
must be cont
14
Q
shell method
A
int from a to b 2pix*(f(x)-g(x))
15
Q
washer method
A
int from a to b pi times f(x)^2 - g(x)^2
16
Q
disk method
A
int from a to b pi *f(x) ^2
17
Q
integral cos
A
sin
18
Q
int sin
A
-cos
19
Q
int sec^2
A
tan
20
Q
int sec *tan
A
sec
21
Q
int csc^2
A
-cot
22
Q
int csc * cot
A
-csc
