Formulas Flashcards
0
Q
Arc-length formula
A
Integral from “a” to “b” of root 1 plus y’^2 dx.
1
Q
Midpoint Rule
A
(b-a)/n[f(x)+f(x)+f(n)]
2
Q
Trapezoid Rule
A
deltaX/2 [f(x)+2f(x)+2f(x)+f(n)]
3
Q
(b-a)/2)/3[f(x)+4f(x)+2f(x)+4f(x)+f(n)]
A
Simpson’s Rule
4
Q
Trapezoid Error Bound
A
|Et|
5
Q
Midpoint Error Bound
A
|Em|
6
Q
Simpson’s Error Bound
A
|Es|
7
Q
Integral from a to b of 2pi r times arc length.
A
Surface Area
8
Q
2pi•r•h dr.
A
Volume
9
Q
1/(b-a)integral a to b f(x)dx
A
Mean Value Theorem (find the middle value of a function)
10
Q
Sigma (x)^n
A
1/(1-x), series of;
11
Q
Sigma x^n/n!
A
e^x, series of;
12
Q
Sigma (-1)^n x^2n+1/(2n+1)!
A
Sin(x), series of;
13
Q
Sigma (-1)^n x^2n/(2n)!
A
Cos(x), series of;
14
Q
Sigma (-1)^n x^2n+1/(2n+1)
A
Arctan(x), series of;
