Contents: 1. Definitions. 2. Methods of Integration. 3. Integration of Algebraic Rational Functions. 4. Integration of Trigonometric Functions. 5. Integration of Irrational Functions. 6. Definite Integrals. 7. Beta and Gamma Functions. 8. Areas of Plane Regions. 9. Rectification Lengths of Plane Curves. 10. Volumes and Surfaces of Revolution. 11. Centre of Gravity. Moment of Inertia. 12. Multiple Integrals. 13. Convergence of Improper Integrals. 14. Differentiation Under Integral Sign. 15. Differential Equation of first order and first degree. 16. Equations of the first order but not of the first degree. 17. Trajectories of a Family of curves. 18. Linear Equations.
