Topics In Integral Calculus

In view of the heavy syllabus in Mathematics and the limited time at the disposal of the teacher in the class-room, only typically questions just sufiicient to give the student an adequate practice in the formulae or methods, have been given in a set after an Article or two. Great care has been taken to include in a gradual manner almost all the standard questions on the subject. References to Examinations have been invariably given so that the student may realize their relative importance. Hints to difficult questions have been given to encourage the student to come prepared from home and thus quicken the progress of the subject in the class-room. For the more ambitious and voracious reader, however, a set of Miscellaneous Examples, not to form necessarily a part of the class-work has been appended to each chapter to try his skill

1. Integrals

2. Integration by Substitution

3. Integration by Parts

4. Integration of Rational Algebraic Functions

5. Integration of Irrational Algebraic Functions

6. Integration of Trigonometric Functions

7. Reduction Formulae

8. Definite Integrals

9. Rectification and Intrinsic Equation

10. Quadrature

11. Volume and surface of a Solid of Revolution

12. Differential Equations of the First Order and First Degree

13. Linear Equations with Constant Coefficients.