04 Area of the Inner Loop of the Limacon r = a(1 + 2 cos θ) |
03 Area Inside the Cardioid r = a(1 + cos θ) but Outside the Circle r = a |
Example 6 | Plane Areas in Rectangular Coordinates |
Example 5 | Plane Areas in Rectangular Coordinates |
Example 4 | Plane Areas in Rectangular Coordinates |
Principles of Statics |
Engineering Mechanics |
02 Area Bounded by the Lemniscate of Bernoulli r^2 = a^2 cos 2θ |
Example 2 | Volumes of Solids of Revolution |
Example 1 | Volumes of Solids of Revolution |
01 Area Enclosed by r = 2a sin^2 θ |
Example 3 | Plane Areas in Rectangular Coordinates |
Example 2 | Plane Areas in Rectangular Coordinates |
Volumes of Solids of Revolution | Applications of Integration |
Plane Areas in Polar Coordinates | Applications of Integration |
Example 1 | Plane Areas in Rectangular Coordinates |
Plane Areas in Rectangular Coordinates | Applications of Integration |
Chapter 4 - Applications of Integration |
Integration of Rational Fractions | Techniques of Integration |
Trigonometric Substitution | Techniques of Integration |
Problem 1: Evaluate $\displaystyle \int \dfrac{(8x + 1) \, dx}{\sqrt{4x - 3}}$ by Algebraic Substitution |
Algebraic Substitution | Integration by Substitution |
Integration by Substitution | Techniques of Integration |
Integration by Parts | Techniques of Integration |
Chapter 3 - Techniques of Integration |