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PPT INTEGRAL

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PPT INTEGRAL

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  • 1. WELCOME CLICK HERE
  • 2. INTEGRAL MATTERS EXERCISES QUIZ
  • 3. INTEGRAL MATTERS DEFINITION INDEFINITE DEFINITE EXERCISES QUIZ
  • 4. INTEGRAL MATTERS EXERCISES QUIZ
  • 5. INTEGRAL MATTERS EXERCISES QUIZ
  • 6. INTEGRAL DEFINITION INDEFINITE DEFINITE Sir Isaac Newton was an inventor and a contributor to the famous calculus. while Gottfried Wilhelm Leibniz in the beginning accused of plagiarizing the work of Sir Isaac Newton's unpublished, but is now regarded as calculus contributors whose work is done separately. Leibniz and Newton pushed these thoughts together as a whole and the two scientists were regarded as the inventor of calculus independently in the same time. Newton apply calculus to general physics while Leibniz developed calculus notations are widely used today. 1 2
  • 7. INTEGRAL DEFINITION INDEFINITE DEFINITE Two kinds of integral : Indefinite integral Definite integral 1 2
  • 8. INTEGRAL DEFINITION INDEFINITE DEFINITE 1 2 3 4 5
  • 9. INTEGRAL DEFINITION INDEFINITE DEFINITE The Formula of indefinite integral : ;With condition Example : C is a constanta Example : 1 2 3 4 5
  • 10. INTEGRAL DEFINITION INDEFINITE DEFINITE if example : 1 2 3 4 5
  • 11. INTEGRAL DEFINITION INDEFINITE DEFINITE example : answer : Lets So 1 2 3 4 5
  • 12. INTEGRAL DEFINITION INDEFINITE DEFINITE Example : substitution Integral Example : Partial Integral 1 2 3 4 5
  • 13. INTEGRAL DEFINITION INDEFINITE DEFINITE Example : substitution Integral Example : Partial Integral 1 2 3 4 5
  • 14. INTEGRAL DEFINITION INDEFINITE DEFINITE Example : substitution Integral Example : Partial Integral 1 2 3 4 5
  • 15. INTEGRAL DEFINITION substitution Integral INDEFINITE DEFINITE Back
  • 16. INTEGRAL DEFINITION Partial Integral INDEFINITE DEFINITE Back
  • 17. INTEGRAL DEFINITION INDEFINITE DEFINITE 1 2 3
  • 18. INTEGRAL DEFINITION INDEFINITE DEFINITE The Formula of definite integral : 1 2 3
  • 19. INTEGRAL DEFINITION INDEFINITE DEFINITE Example : 1 2 3
  • 20. INTEGRAL A C B EXERCISES E D 1 2 3 4
  • 21. INTEGRAL A C B D A C B EXERCISES E D E 1 2 3 4
  • 22. INTEGRAL A C B EXERCISES E D 1 2 3 4
  • 23. INTEGRAL EXERCISES A C B E D 1 2 3 4
  • 24. IM SORRY !!! YOUR ANSWER IS FALSE TRY AGAIN
  • 25. IM SORRY !!! YOUR ANSWER IS FALSE TRY AGAIN
  • 26. IM SORRY !!! YOUR ANSWER IS FALSE TRY AGAIN
  • 27. IM SORRY !!! YOUR ANSWER IS FALSE TRY AGAIN
  • 28. THATS RIGHT !!! YOUR ANSWER IS CORRECT EXPLANATION
  • 29. THATS RIGHT !!! YOUR ANSWER IS CORRECT EXPLANATION
  • 30. THATS RIGHT !!! YOUR ANSWER IS CORRECT EXPLANATION
  • 31. THATS RIGHT !!! YOUR ANSWER IS CORRECT EXPLANATION
  • 32. THATS RIGHT !!! YOUR ANSWER IS CORRECT EXPLANATION
  • 33. EXPLANATION A BACK TO EXERCISES
  • 34. EXPLANATION C BACK TO EXERCISES
  • 35. EXPLANATION C BACK TO EXERCISES
  • 36. EXPLANATION C BACK TO EXERCISES
  • 37. EXPLANATION A BACK TO EXERCISES
  • 38. INTEGRAL EXERCISES 1 2 3
  • 39. Proses menemukan integral suatu fungsi disebut sebagai pengintegralan ataupun integrasi. Integral dibagi menjadi dua, yaitu: integral tertentu dan integral tak tentu. Notasi matematika yang digunakan untuk menyatakan integral adalah , seperti huruf S yang memanjang (S singkatan dari "Sum"yang berarti penjumlahan). Gottfried wilhelm Leibniz