Term
How do you find an antiderivative?
----------------------- |
|
Definition
1.)If it is in this format: x^ndx
Use the Power Rule of Antiderivatives
-------------------
2.) If it is in this format:
Ax^bdx=?
You will do the following:
A(1/b)x^(b+1)+C
------------
3.) If it is in this format:
(Ax^2 - Bx + C)dx = ?
You will do the following:
Ax^2dx - Bxdx + Cdx
and use this edited Power Rule of Antiderivatives on Each Individual Part
x^ndx = (1/n+1)x^(n+1)
Where n cannot equal -1
-----------------
4.) If it is 1dx your solution is:
x+C
--------------------
5.) If x^-1dx:
ln|x| + C or 1/x+C
-------------------------------- |
|
|
Term
What is the Power Rule of Antiderivatives?
---------------------- |
|
Definition
x^ndx = (1/n+1)x^(n+1)+C
Where n cannot equal -1
------------- |
|
|
Term
|
Definition
A(1/b)x^(b+1)+C
---------------- |
|
|
Term
What is the Antiderivative Rule of Exponential Functions?
---------------------- |
|
Definition
1.) if:
e^kxdx = (1/k)e^kx + C
-----------
2.) If:
Ae^kxdx = A(1/k)e^(kx))+C
--------------------- |
|
|
Term
(Ax^2 - Bx + C)dx = ?
---------------------- |
|
Definition
Ax^2dx - Bxdx + Cdx
------------------------- |
|
|
Term
If you have a function with three variables and you know the values of two of the variables, how do you determine the value of the third variable?
------------------------ |
|
Definition
Plug in the two values you know, and solve for the unknown variable.
------------------- |
|
|
Term
How do you do Integration by Substitution
with the following problem:
(x-1)^11dx=
------------------------------ |
|
Definition
1/12(x-1)^12+C
-------------- |
|
|
Term
How do you do Integration by Substitution
with the following problem:
x((x^2)-5)^4dx=
------------------------------ |
|
Definition
(1/10(x^2-5)^5)+C
------------- |
|
|
Term
The Derivative of u is equal to what?
------------------- |
|
Definition
du/dx = u'
----------------- |
|
|
Term
What is the derivative of e^ax?
----------------------- |
|
Definition
|
|
