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 Fundamental Theorems of Calculus
 Fundamental Integration Formulas
 Techniques of Integration

Applications of Integration

Plane Areas
 Example 1  Plane Areas in Rectangular Coordinates
 Example 2  Plane Areas in Rectangular Coordinates
 Example 3  Plane Areas in Rectangular Coordinates
 Example 4  Plane Areas in Rectangular Coordinates
 Example 5  Plane Areas in Rectangular Coordinates
 Example 6  Plane Areas in Rectangular Coordinates
 Example 7  Area inside the square not common to the quarter circles
 Example 8  Area bounded by arcs of quarter circles
 01 Area enclosed by r = 2a sin^2 θ and r = 2a cos^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 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
 Solids of Revolution by Integration

Plane Areas