# Shared Flashcard Set

## Details

1-Day Eighteen: Calculus
1-Day Eighteen: Calculus
11
Mathematics
11/01/2016

Term
 How do you find an antiderivative?-----------------------
Definition
 1.)If it is in this format: x^ndxUse 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 + Cdxand use this edited Power Rule of Antiderivatives on Each Individual Partx^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^-ndx:ln|x| + C or 1/x+C----------------------
Term
 What is the antiderivative of 2x?-----------------
Definition
 x^2+C----------
Term
 Why is there a C, in the antiderivative of 2x?--------------------------
Definition
 Because you have to account for the possible existence of a constant.---------------------
Term
 What is the notation for writing the integral of 2x?----------------------
Definition
 2xdx = x^2+C-----------------
Term
 What is the Power Rule of Antiderivatives?----------------------
Definition
 x^ndx = (1/n+1)x^(n+1)+CWhere n cannot equal -1-------------
Term
 What does 1dx=?----------------
Definition
 1dx = x+C-----------
Term
 Ax^bdx=?------------
Definition
 x^bdx=A-------------A(1/b)x^(b+1)+C----------------
Term
 (Ax^2 - Bx + C)dx = ?----------------------
Definition
 Ax^2dx - Bxdx + Cdx-------------------------
Term
 What is the Antiderivative Rule of Exponential Functions?----------------------
Definition
 1.) if:e^xdx = e^x + C-----------2.) If:Ae^xdx = (1/Ae^(Ax))+C---------------------
Term
 What does A/(B/C)=?------------------
Definition
 A*(C/B)-------------
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.-------------------
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