6.4-6.8 Flashcards
(26 cards)
1
Q
the derivative of an integral is
A
the original funcyion
2
Q
integrals always go from
A
low to high
3
Q
when asked for absolute extrema include
A
endpoints
4
Q
finding extrema with integrals
A
use integral to find og function (integral of f’(x)=f(x)) and test points
5
Q
a,b int(k*f(x)dx)=
A
k* a,b int(f(x)dx)
6
Q
a, b int(f(x)+/-g(x)dx)=
A
a, b int(f(x)dx) +/- a, b int(g(x)dx)
7
Q
if int from a to a =
A
0
8
Q
int b,a =
A
-int a,b
9
Q
any indefinite int must inc
A
+c
10
Q
int(0dx)
A
c
11
Q
int(kdx)
A
kx+c
12
Q
int(x^ndx)
A
x^(n+1)/(n+1)+c
13
Q
int(cosxdx)
A
sinx+c
14
Q
int(sinxdx)
A
-cosx+c
15
Q
int(csc^2xdx)
A
-cotx+c
16
Q
int(sec^2xdx)
A
tanx+c
17
Q
int(cscxcotxdx)
A
-cscx+c
18
Q
int(secxtanxdx)
A
secx+c
19
Q
antiderivative=
A
integral
20
Q
integral of f”(x)=
A
f’(x)
21
Q
int(e^xdx)
A
e^x+c
22
Q
int(a^xdx)
A
a^x/lna +c
23
Q
int(1/x)
A
ln|x|+c
24
Q
inc ___ when evaluating integrals
A
|w/ numbers
25
to evaluate an integral
integrate and do F(b)-F(a)
26
if bounds of int (g(x)) are constant, f(x)
y'=g(f(x)*f'(x)
