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;
15 Cards in this Set
- Front
- Back
|
When do you substitute the sin(x) equation in your integral and what do you substitute. What is it's derivative. |
a^2-x^2
and x=asin(theta) dx=acos(Θ) |
|
|
when do you substitute the secant equation in the integral and what do you substitute and what is its derivative |
x^2-a^2 and x=asec(Θ) dx=asec(Θ)tan(Θ) |
|
|
when do you substitute the tangent equation in the integral and what do you substitute. What is its derivative. |
x^2+a^2 or a^2+x^2 and x=atan(Θ) dx=asec^2(Θ) |
|
|
When do you substitute cosh(x) in the integral and what do you substitute, What is it's derivative. |
x^2-a^2 x=acosh(Θ) dx=asinh(Θ) |
|
|
When do you substitute sinh(x) in the integral and what do you substitute, what is it's derivative. |
x^2+a^2 x=asinh(Θ) dx=acosh(Θ) |
|
|
What does cosh(x) actually equal |
(e^x+e^-x)/2 |
|
|
What does sinh(x) actually equal |
(e^x-e^-x)/2 |
|
|
when you have the integral of a number that has an upper bound or lower bound of± infinity, what do you do |
Substitute the Infinity for a constant |
|
|
After you substitute the upper or lower infinity bound for a constant what do you do. |
express the integral as a limit f(x) as your constant reaches ±infinity then solve the integral |
|
|
if you have two bound that are at an infinity such as [-∞ < 0 < +∞ ] how would you go about that equation |
you would break the integrals into two parts, one integral going from [-∞ to 0] and the other integral going from [0 to +∞]. You then solve the integrals and at the two up. |
|
|
What is the equation you use to find the arc length of an equation from [a,b] |
integral from a to b (sqrt(1+(f'(x))^2)) |
|
|
what is the equation used to find the surface area of a function from [a,b] around the x-axis |
2pi() *integral from a to b of (f(x)*Sqrt(1+(f'(x))^2) |
|
|
what is the equation used to find the surface area of a function from [a,b] around the y-axis |
2pi()*integral from a to b of (x*sqrt(1+(f'(x))^2) |
|
|
What is the equation for work with a nonconstant force |
[a,b]∫f(x)dx |
|
|
What is the force equation for the stretching or compression of a spring. Define all variables |
f(x)=Kx K=spring constant x=distance stretched or compressed If x is negative then it will be compressed and the force will be negative as well |
