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CHAPTER 4  THE INDEFINITE INTEGRALS

41 Antiderivative and The Indefinite Integrals

42 Integration by Changing Variables

43 Integration by Parts

44 The Trigonometric Integrals

45 The Integration by Partial Fractions

46 Trigonometric and Half-Angle Substitution

CHAPTER 5 THE DEFINITE INTEGRALS download

51 Areas and the Definition of Definite Integral

52 The Fundamental Theorem of Calculus

53 The Approximate Integration

54 The Improper Integrals

CHAPTER 6 APPLICATIONS_INTEGRATION download

61 Areas between Curves

62 Areas in Polar Coordinates

63 Arc Length

64 Volumes and The Volumes of Revolution

65 Area of a Surface of Revolution

66 Centroid of A Plane Region

67 Work and The Problems of The Engineering