integrals and distance 45 videos

The Midpoint and Distance Formulas in 3D
Precalculus Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment in three dimensions.
position vectors the vector from point a to point b the midpoint formula vector addition scalar multiplication 
Chords and a Circle's Center
Geometry Circles
How to define a chord; how to describe the effect of a perpendicular bisector of a chord and the distance from the center of the circle.
chord perpendicular bisector distance from the center congruent chords 
Displacement
Physics Linear and Projectile Motion
An explanation of displacement.
displacement distance vector 
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 
Absolute Value
PreAlgebra Integers
Understanding that absolute value represents a distance from zero

Definitions and Applications of Absolute Value
Algebra Absolute Value
What is absolute value?
absolute value number line distance 
Triangle Side Inequalities
Geometry Triangles
How to determine the triangle side inequalities.
shortest distance side length inequalities 
Average Speed
Physics Linear and Projectile Motion
How to calculate average speed.
average speed total distance time 
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 
Constructing an Angle Bisector
Geometry Constructions
How to define and construct an angle bisector.
construction perpendicular equidistant shortest distance to a line bisector 
Circumference
Geometry Circles
How to calculate the circumference of a circle.
circumference pi distance radius diameter ratio 
SpeedInstantaneous Speed
Physics Linear and Projectile Motion
Understanding the differences between speed and instantaneous speed.
speed instantaneous speed distance time mechanics 
Instantaneous Velocity
Physics Linear and Projectile Motion
How to find instantaneous velocity.
instantaneous velocity changes in distance change in time 
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 
Locus and Definition of a Circle and Sphere
Geometry Circles
How to define a circle and a sphere using the word locus.
locus set of points distance plane circle sphere given 
Scientific Units
Chemistry Introduction to Chemistry
How to use and convert scientific units.
scientific units time distance mass volume temperature density speed