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Contents
1. Limits and Continuity of a Function. ......................................................................................1-37
2. Differentiation. ........................................................................................................................ 38-58
3. Successive Differentiation ...................................................................................................... 59-79
4. General theorems, expansion of functions. ........................................................................80-104
5. Indeterminate Form............................................................................................................. 105-113
6. Curvature............................................................................................................................. 114-130
7. Maxima and Minima............................................................................................................ 131-137
8. Elementary integration . .................................................................................................... 138-141
9. Integration by Substitution ............................................................................................... 142-145
10. Integration by Parts. .......................................................................................................... 146-149 11. Integration by Partial Fractions....................................................................................... 150-155 12. Integration of Irrational Functions...............................................................................1560-163 13. Integration of Trigonometric Functions.......................................................................... 164-168 14. Reduction Formulae........................................................................................................... 169-183 15. Definite integration........................................................................................................... 184-196 16. Areas of Plane Curves....................................................................................................... 197-204 17. Volumes and Surfaces of Solids of Revolution............................................................. 205-208 18. Lengths of plane Curves. .................................................................................................. 209-216 19. Simpson s Rule..................................................................................................................... 217-223
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LIMITS AND CONTINUITY OF