Calculus II

Lecture Notes

Notes	ME
1. Definite Integrals by Substitution and Area Between Curves
2. Inverse Functions and Their Derivatives
3. Natural Logarithms
4. Exponential Functions and General Logarithmic Functions
5. Applications of Exponential Functions
6. L'Hopital's Rules
7. Inverse Trigonometric Functions
8. Hyperbolic Functions
9. Volumes	ME
10. The Shell Method
11. Arc Length
12. Area of Surface of Revolution
13. Work and Fluid Force
14. Basic Integration Rules
15. Integration by Parts
16. Trigonometric Integrals
17. Trigonometric Substitution
18. Integration of Rational Functions by Partial Fractions
19. Integral Table and Computer Algebra Systems
20. Improper Integrals
21. Sequences
22. Infinite Series
23. Integral and Comparison Tests

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