limits of integration 34 videos
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Computing Definite Integrals using Substitution
Calculus The Definite Integral
How to evaluate definite integrals using the method of substitution.
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Indefinite Integrals
Calculus Antiderivatives and Differential Equations
How to solve an indefinite integral using the properties of indefinite integrals.
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Definition of Indefinite Integrals
Calculus Antiderivatives and Differential Equations
How to define an indefinite integral.
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Complicated Indefinite Integrals
Calculus Antiderivatives and Differential Equations
How to solve complex indefinite integral using the properties of indefinite integrals.
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One-Sided Limits
Calculus Limits and Continuity
How to use one-sided limits to show that a limit does not exist.
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An Important Limit
Calculus The Derivative
How to interpret the value of a limit important in the derivative of exponential functions.
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Limits: A Graphical Approach
Calculus Limits and Continuity
How to determine one-sided and two-sided limits from the graph of a function.
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Definite Integrals and Area
Calculus The Definite Integral
How to use definite integrals to find the area between a curve or under a curve.
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Limits: A Numerical Approach
Calculus Limits and Continuity
How to estimate a limit using a table of values.
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Infinite Limits; Vertical Asymptotes
Calculus Limits and Continuity
How to use one-sided limits to find a vertical asymptote.
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Limits and End Behavior
Calculus Limits and Continuity
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.
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Evaluating Limits Algebraically, Part 1
Calculus Limits and Continuity
How to evaluate the limit of a function using continuity.
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Evaluating Limits Algebraically, Part 2
Calculus Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous.
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Definite Integrals As Net Change
Calculus The Definite Integral
How to use the fundamental theorem of calculus to compute the net change of a quantity.
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The Fundamental Theorem of Calculus
Calculus The Definite Integral
How to use the fundamental theorem of calculus to evaluate a definite integral.
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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].
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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).
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The Method of Substitution
Calculus Antiderivatives and Differential Equations
How to evaluate an indefinite integral using the method of substitution.
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Intervals of Increase and Decrease
Calculus Applications of the Derivative
How to estimate a limit using a table of values.