PART 7 INTEGRAL CALCULUS

MIND MAP

PART 7 INTEGRAL CALCULUS

 CONCEPTS

PART 7 INTEGRAL CALCULUS

• INTEGRAL FORMULAS
  • ALGEBRAIC, EXPONENTIAL AND LOGARITHMIC FUNCTIONS
  • TRIGONOMETRIC FUNCTIONS
  • INVERSE TRIGONOMETRIC FUNCTIONS
  • HYPERBOLIC FUNCTIONS
  • OTHER FUNCTIONS
  • INTEGRATION BY PARTS
  • TRIGONOMETRIC SUBSTITUTION
  • WALLIS’ FORMULA
  • PLANE AREAS
    • USING VERTICAL STRIP
    • USING HORIZONTAL STRIP
    • BY POLAR COORDINATES
    • AREA OF SOME POLAR CURVES
  • LENGTH OF ARC
  • CENTROID OF PLANE AREAS
    • USING HORIZONTAL STRIP
    • USING VERTICAL STRIP
    • CENTROID OF PARABOLIC SEGMENT AND SPANDREL
  • MOMENT OF INERTIA OF PLANE AREAS (FIRST MOMENT OF AREA)
    • POLAR MOMENT OF INERTIA
    • PRODUCT OF INERTIA
    • MASS MOMENT OF INERTIA
  • PROPERTIES OF COMMON SHAPES
  • SOLIDS OF REVOLUTION
    • VOLUME USING CIRCULAR DISK
    • VOLUME USING HALLOW CYLINDRICAL SHELL
    • SURFACE AREA
  • VOLUME OF OTHER SOLIDS WITH KNOWN CROSS SECTIONS
  • CENTROID OF VOLUME
  • CENTROID OF COMMON SOLIDS
  • WORK
    • CONSTANT FORCE
    • WORK UNDER VARIABLE FORCE
    • WORK TO STRETCH A SPRING
    • WORK IN WINDING UP A LOAD

FORMULAS & SCHEMATICS 

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