Integral calculus

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INTEGR AL CALCUL US

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Transcript of Integral calculus

  • 1. - the process of findingthe areas bounded bycurves, volumes ofvarious solids, centerof gravity and othergeometric and physicalapplications.

2. Indefinite Integralexample: 3. 1.example: 4. 2.example: 5. 3.example: 6. example: 7. 1.example: 8. 2.example: 9. 3.example: 10. 4.example: 11. example: 12. 1.example: 13. 2.example: 14. 3.example: 15. 1.2.3.4. 16. 5.6. 17. 7.8.9.10. 18. Sine and CosineFunctions 19. 1. n -1 n= -1example: 20. b. 21. 2. n -1 n= -1example:a. 22. b. 23. 3. m is oddexample: 24. 4. m is oddexample: 25. example:b. 26. 5. m and n areevenexample:a. 27. 6. a.example: 28. b.example: 29. c. example: 30. Tangent and SecantFunctions 31. 1. m and n areoddexample: 32. 2. n is evenexample: 33. 3. m is evenexample: 34. Cotangent andCosecant Functions 35. 1. m and n areoddexample: 36. 2. n is even >2example: 37. ,, 38. Definite Integralexample: 39. 1. The integral of aconstant multiple of afunction is that sameconstant times theintegral of the functions.example: 40. 2. The integral of the sumof two functions is thesum of their integrals. example: 41. 3. The sign of an integralchanges when its limitsof integrationinterchanged.example: