area under a curve 52 videos

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 With Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the area of a parallelogram using a determinant.
parallelogram vectors determinant area 
Area of Circles
Geometry Area
How to derive the formula to calculate the area of a circle.
circle radius circumference 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