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Viser: How to Integrate It - A Practical Guide to Solving Integrals
How to Integrate It
A Practical Guide to Solving Integrals
Seán M. Stewart
(2017)
Sprog: Engelsk
Detaljer om varen
- Paperback: 378 sider
- Udgiver: Cambridge University Press (December 2017)
- ISBN: 9781108408196
2. Basic properties of the definite integral -
Part I;
3. Some basic standard forms;
4. Basic properties of the definite integral -
Part II;
5. Standard forms;
6. Integration by substitution;
7. Integration by parts;
8. Trigonometric integrals;
9. Hyperbolic integrals;
10. Trigonometric and hyperbolic substitutions;
11. Integrating rational functions by partial fraction decomposition;
12. Six useful integrals;
13. Inverse hyperbolic functions and integrals leading to them;
14. Tangent half-angle substitution;
15. Further trigonometric integrals;
16. Further properties for definite integrals;
17. Integrating inverse functions;
18. Reduction formulae;
19. Some other special techniques and substitutions;
20. Improper integrals;
21. Two important improper integrals; Appendix A. Partial fractions; Appendix B. Answers to selected exercises; Index.