limits of integration   47 videos

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  Velocity, Acceleration and Distance

  AP Calculus AB AP Calculus Videos

  Velocity acceleration integrals and position integrals and distance
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  Average Value of a Function

  Calculus The 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
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  Critical Points

  Calculus Applications of the Derivative

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

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  The Derivative Function

  Calculus The Derivative

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

  derivative limits the derivative function
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  AP Tricks, Part 4

  AP Calculus AB AP Calculus Videos

  Functions of integrals average rates of change
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  The Method of Substitution

  Calculus Antiderivatives and Differential Equations

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

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

  AP Calculus AB AP Calculus Videos

  More average value continuity and limits
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  Intervals of Increase and Decrease

  Calculus Applications of the Derivative

  How to estimate a limit using a table of values.

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  Curve Sketching with Derivatives

  Calculus Applications of the Derivative

  How to evaluate the limit of a function using continuity.

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  Optimization Using the Closed Interval Method

  Calculus Applications of the Derivative

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

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  Tips on when to use Differential Rate Laws and Integrated Rate Laws

  Chemistry Kinetic-Molecular Theory

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  Simple Substitutions

  Calculus Antiderivatives and Differential Equations

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

  antidifferentiation method of substitution change of variables derivatives differential
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  Continuity

  Calculus Limits 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
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  The First Derivative Test for Relative Maximum and Minimum

  Calculus Applications 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.

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  Relative Maxima and Minima

  Calculus Applications of the Derivative

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

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  AP Tricks, Part 2

  AP Calculus AB AP Calculus Videos

  Differential Equations Rate Integration Problems Mean Value Theorem
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  Function and Derivative Graphs

  AP Calculus AB AP Calculus Videos

  Converting function graphs to derivatives converting derivative graphs to functions integrals and area
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  Instantaneous Velocity

  Calculus The 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
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  Derivatives of Exponential Functions

  Calculus The 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
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  Optimization Using the First Derivative Test

  Calculus Applications 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.