Navigation
 Chapter 1  Fundamental Theorems of Calculus
 Chapter 2  Fundamental Integration Formulas
 Chapter 3  Techniques of Integration

Chapter 4  Applications of Integration
 Plane Areas in Rectangular Coordinates  Applications of Integration

Plane Areas in Polar Coordinates  Applications of Integration
 01 Area Enclosed by r = 2a cos^2 θ
 01 Area Enclosed by r = 2a sin^2 θ
 02 Area Bounded by the Lemniscate of Bernoulli r^2 = a^2 cos 2θ
 03 Area Enclosed by Cardioids: r = a(1 + sin θ); r = a(1  sin θ), r = a(1 + cos θ), r = a(1  cos θ)
 03 Area Inside the Cardioid r = a(1 + cos θ) but Outside the Circle r = a
 04 Area of the Inner Loop of the Limacon r = a(1 + 2 cos θ)
 05 Area Enclosed by FourLeaved Rose r = a cos 2θ
 05 Area Enclosed by r = a sin 2θ and r = a cos 2θ
 06 Area Within the Curve r^2 = 16 cos θ
 07 Area Enclosed by r = 2a cos θ and r = 2a sin θ
 08 Area Enclosed by r = a sin 3θ and r = a cos 3θ
 Area for grazing by the goat tied to a silo
 Length of Arc in XYPlane  Applications of Integration
 Length of Arc in Polar Plane  Applications of Integration
 Volumes of Solids of Revolution  Applications of Integration
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