area under a curve 52 videos
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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 -
Approximating Area Using Rectangles
Calculus The Definite Integral
How to approximate the area under a curve using rectangles.
approximating area under a curve left hand sums right hand sums limits -
Area of Triangles
Geometry Area
How to derive the area of a triangle formula using the rectangle area formula.
area triangles rectangles altitude -
Area of Parallelograms
Geometry Area
How to find the area of any parallelogram using rectangle area formulas.
area of rectangles base times height -
Area of a Segment
Geometry Area
How to derive the area of a segment formula.
segment sector triangle area radius central angle shaded area -
Area of Circles
Geometry Area
How to derive the formula to calculate the area of a circle.
circle radius circumference area -
Area With Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the area of a parallelogram using a determinant.
parallelogram vectors determinant area -
Surface Area of Cylinders
Geometry Area
How to prove the surface area of a cylinder formula.
circle lateral area circumference -
Surface Area of Spheres
Geometry Volume
How to calculate the surface area of a sphere given a radius.
sphere surface area radius -
Surface Area of Cones
Geometry Area
How to calculate the surface area of any cone explaining lateral surface area.
cone circle circumference lateral area lateral edge -
Surface Area of Prisms
Geometry Area
How to calculate the surface area of any prism.
prism 3d bases lateral faces lateral area surface area -
Area of a Sector
Geometry Area
How to derive the formula to calculate the area of a sector in a circle.
sector central angle intercepted arc circle radius area -
Similarity and Area Ratios
Geometry Similarity
How to convert between length and area ratios of similar polygons
polygons similar area ratios -
Multiplying Polynomials using Area Models
Algebra Polynomials
How to relate area of rectangles to multiplying polynomials.
area binomial trinomial distributing -
Families of Polar Curves: Roses
Precalculus Polar Coordinates and Complex Numbers
How to describe Roses, the family of curves with equations r=acos(b*theta) or r=asin(b*theta) when b >=2 and is an integer.
polar graph polar equation polar curve roses symmetric about the x axis symmetric about the y axis. -
Surface Area of Joined Solids
Geometry Area
How to calculate the surface area of a cylinder joined to a cone.
joined solid cone cylinder lateral area circle -
Surface Area of Pyramids
Geometry Area
How to calculate the surface area of any pyramid, emphasizing regular polygons as bases.
regular polygon lateral area apothem -
Using Sine to Calculate the Area of a Triangle
Geometry Basic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine -
Using Sine to Calculate the Area of a Triangle
Trigonometry Basic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine
