integrals and position 14 videos

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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Computing Definite Integrals using Substitution
Calculus The Definite Integral
How to evaluate definite integrals using the method of substitution.
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Position, Velocity and Acceleration
Calculus Antiderivatives and Differential Equations
How to solve position, velocity and acceleration problems using differentiation equations.
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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.
definite integral area problems area between curves 
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 Velocity
Calculus The Derivative
How to compute the average velocity of an object moving in one dimension.
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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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Simple Substitutions
Calculus Antiderivatives and Differential Equations
How to use the method of substitution to avoid common integration mistakes.
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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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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.
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Optimization Using the Second Derivative Test
Calculus Applications of the Derivative
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.