# limits of integration   47 videos

• #### Velocity, Acceleration and Distance

##### AP Calculus ABAP Calculus Videos
Velocity acceleration integrals and position integrals and distance
• #### Average Value of a Function

##### CalculusThe Definite Integral

How to find the average value of a function over an interval [a,b].

average value antidifferentiation limits of integration functions area under a curve
• #### Critical Points

##### CalculusApplications of the Derivative

How to find a two-sided limit by investigating one-sided limits.

• #### The Derivative Function

##### CalculusThe Derivative

How to define the derivative function f'(x).

derivative limits the derivative function
• #### AP Tricks, Part 4

##### AP Calculus ABAP Calculus Videos
Functions of integrals average rates of change
• #### The Method of Substitution

##### CalculusAntiderivatives and Differential Equations

How to evaluate an indefinite integral using the method of substitution.

antidifferentiation method of substitution change of variables derivatives differential
• #### AP Tricks, Part 3

##### AP Calculus ABAP Calculus Videos
More average value continuity and limits
• #### Intervals of Increase and Decrease

##### CalculusApplications of the Derivative

How to estimate a limit using a table of values.

• #### Curve Sketching with Derivatives

##### CalculusApplications of the Derivative

How to evaluate the limit of a function using continuity.

• #### Optimization Using the Closed Interval Method

##### CalculusApplications of the Derivative

How to evaluate the limit of a function at points where it is not continuous.

• #### Simple Substitutions

##### CalculusAntiderivatives and Differential Equations

How to use the method of substitution to avoid common integration mistakes.

antidifferentiation method of substitution change of variables derivatives differential
• #### Continuity

##### CalculusLimits and Continuity

How to determine whether a function f(x) is continuous at a particular point x=a.

limits definition of a function continuous at a point domain of a function
• #### The First Derivative Test for Relative Maximum and Minimum

##### CalculusApplications of the Derivative

How to use an algebraic approach to find one-sided limits of a rational function, and how these limits can be used to find a vertical asymptote.

• #### Relative Maxima and Minima

##### CalculusApplications of the Derivative

How to use one-sided limits to find a vertical asymptote.

• #### AP Tricks, Part 2

##### AP Calculus ABAP Calculus Videos
Differential Equations Rate Integration Problems Mean Value Theorem
• #### Function and Derivative Graphs

##### AP Calculus ABAP Calculus Videos
Converting function graphs to derivatives converting derivative graphs to functions integrals and area
• #### Instantaneous Velocity

##### CalculusThe Derivative

How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time.

average velocity instantaneous velocity change in position change in time limits
• #### Derivatives of Exponential Functions

##### CalculusThe Derivative

How to use the definition of the derivative to find a derivative formula for exponential functions.

limits derivative definition of the derivative difference quotient exponential functions natural logarithm
• #### Optimization Using the First Derivative Test

##### CalculusApplications of the Derivative

How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.