Summations Flashcards
1
Q
Area Under the Curve
- Left sided rectangles _
- Right sided rectangles _
- Midpoint rectangles _
- Trapezoids _
A
Ef(x1), Ef(x2), Ef [(x2+x1)/2], 1/2[ f(x1) + f(x2)]
2
Q
Area of Shape
- Endpoints are _
- Must use numbers from _
- Use the change in x not x
A
0, table
3
Q
E[f(x) +- g(x)]
A
Ef(x) +- Eg(x)
4
Q
Ecf(x)
A
cEf(x)
5
Q
Ec
A
nc or c(n-a+1)
6
Q
Ei
A
n(n+1)/2
7
Q
Ei^2
A
n(n+1)(2n+1)/6
8
Q
Ei^3
A
[n(n+1)/2]^2
9
Q
Riemann Sum (Right)
- lim(n->infinity)E[(b-a)/a] f(a + [(b-a)/a]i)
- Sum of infinite _ of _ times _
A
Rectangles, width, height
10
Q
Integral
-Area under the curve of _ on _
A
f(x), [a,b]
11
Q
S(ab)f(x)dx
A
-S(ba)f(x)dx
12
Q
S(ac)f(x)dx
A
S(ab)f(x)dx + S(bc)f(x)dx
13
Q
S(ab) [f(x) + g(x)]dx
A
S(ab)f(x)dx + S(ab)g(x)dx
14
Q
S(ab)cf(x)dx
A
cS(ab)f(x)dx
15
Q
S(ab)c
A
c(b-a)
