SPLE ECE REVIEW – MATH PART 7

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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