Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
25 Cards in this Set
- Front
- Back
|
∫ sinx dx |
-cosx + C |
|
|
∫ cosx dx |
sinx + C |
|
|
∫ sec²x dx |
tanx + C |
|
|
∫ secxtanx dx |
secx + C |
|
|
∫ csc²x dx |
-cotx + C |
|
|
∫ cscxcotx dx |
-cscx + C |
|
|
Summation Formula: n ∑ c = i=1
|
cn |
|
|
Summation Formula: n ∑ i = i=1 |
n(n+1) / 2 |
|
|
Summation Formula: n ∑ i² = i=1 |
n(n+1)(2n+1) / 6 |
|
|
Summation Formula: n ∑ i³ = i=1 |
n²(n+1)² / 4 |
|
|
Finding Area by the Limit Definition Formula |
Area = _______n lim___ ∑ _ƒ(ci)∆x n→∞ _i=1
where, ∆x = (b-a) / n ci = a + i∆x |
|
|
The Fundamental Theorem of Calculus |
b ∫ ƒ(x) dx = F(b) - F(a) a |
|
|
Mean Value Theorm for Integrals |
b ∫ ƒ(x) dx = ƒ(c)(b-a) a |
|
|
Definition of the Average Value of a Function on an Interval |
_______b (1/b-a) ∫ ƒ(x) dx _______a |
|
|
The Second Fundamental Theorem of Calculus |
______x d/dx [ ∫ ƒ(t) dt ] = ƒ(x) ______a |
|
|
The Net Change Theorem |
b ∫ F'(x) dx = F(b) - F(a) a |
|
|
∫ tanx dx |
-ln|cosx|+C |
|
|
∫cotx dx |
ln|sinx|+C |
|
|
∫secxdx |
ln|secx+tanx|+C |
|
|
∫cscxdx |
-ln|cscx+cotx|+C |
|
|
∫ du / (a²-u²)^½ |
arcsin(u/a)+C |
|
|
∫ du / a²+u² |
(1/a)arctan(u/a)+C |
|
|
∫ du / u(u²-a²)^½ |
(1/a)arcsec(|u|/a)+C |
|
|
∫ a^u du |
(1/lna) a^u +C |
|
|
∫ du/u |
ln|u|+C |
